Jar Lid

The diamaeter of the jar lid is 5.4 cm. What is the area of the top of the lid?

This is my sixth grade math homework and I really need help. It has to do with area and stuff like that.

First I want you to imagine you have a square.

Or, change imagination into reality and draw a square on a piece of paper.

Next draw a circle inside the square so that the circle touches the square at the very top, bottom, left and right edges.

To calculate the area of the square you would measure one side of the square and multiply it by itself. If the bottom edge of the square was 10, then the area of the square would be:
10x10 = 100

When you multiply something by itself, you know what that is, right?

We say it is "squared".

Now put a dot in the very center of the circle.

If the bottom edge of the square were ten, then from the center dot to the right side of the square would be exactly half = five and from the center dot to the left would also be half of ten and also = five.. That is because the center dot is in the middle of a line measuring ten. A line of length ten which is divided in half, will , of course, become two shorter lines each equaling five.

Now, if you draw a line from the center dot straight down to the edge, it should hit at the same spot were the circle hit the bottom edge. Next draw a line from the center dot to the top edge, to the left, and to the right.

You should now have one big square which is 10 on each side. Inside the big square you have a circle which just barely touches the square at the top, bottom, left and right edges. And you have now drawn four lines inside the big square so that you have four small squares inside the big square: one square in the lower right, another in the lower left, a third in the upper left, and finally a fourth smaller square in the upper right.

If you want to calculate the area of one of these smaller squares, that would be the length of the side of the smaller square (5) multiplied by itself: 5x5=25

This makes sense because there are four squares and the total area of the big square is 10x10=100 and 25x4=100

YES, WHAT ABOUT THE CIRCLE???
(you are probably asking)

I'm getting to that...

The RADIUS of the circle is the distance from the center of the circle to the edge. The RADIUS is often abbreviated to just "R" or "r". The radius of the circle in our diagram is the same as the side of the smaller square. It is 5.

And we know that the area of the smaller square is 5x5=25.

But the outside corners of the smaller square are not part of area inside the circle.

We know the area of the big square is:

The area of the small square (5x5=25) times 4 = 100

But to know the area of the CIRCLE, instead of multiplying the area of the small square by 4, we need to multiply it by some number less than four to account for the part of the area inside the square that is not part of area inside the circle.

That special number is "pi"

Pi = approximately 3.14

If you multiply the area of the small square by 4 you get the area of the big square.

If you multiply the small square by pi (3.14) you will get the area of the circle!

By the way, diameter is the distance all the way across the middle of the circle. Diameter in my example is 10 and the radius is 5.

The diameter in your example was 5.4cm. That means the RADIUS is...

Come on...

5.4 divided in half = .......

2.7

That would make 2.7 the length of the side of the small square and also the radius of the circle. Look at your diagram, the side of the small square and the radius of the circle are the same.

And so to get the area of the small square you multiply the length of it's side by itself (squared):

2.7x2.7 = 7.29

That would be the area of the small square.

Then multiply the are of the small square by "pi" (3.14)

7.29 x 3.14 = 22.89 square centimeters

There is your answer.

This formula is usually written as:

Radius squared multiplied by pi. Then somebody thought it sounded cool to put pi in front and just call Radius "r" and to skip saying "times" or "multiplied by" because all those math geniuses are supposed to already know it, so they say "pi r squared" and they say it really fast so it sounds almost like "Pirate Square". So if you see some kid with thick glasses say "Pirate Square", you will know it is really "pi times r squared" and just tell him not to talk so fast.

Here is a question for you...

Now that you understand the area of a circle, can you tell me how to find the circumference?

Find Jar Lid On eBay Below:

VINTAGE LEAD CRYSTAL BISCUIT JAR WITH LID BEAUTIFUL ELEGANT COOKIE JAR
VINTAGE LEAD CRYSTAL BISCUIT JAR WITH LID BEAUTIFUL ELEGANT COOKIE JAR
$78.00
Vintage Antique Pink Pressed Glass Intaglio Lidded Vanity Dresser Jars Octagonal
Vintage Antique Pink Pressed Glass Intaglio Lidded Vanity Dresser Jars Octagonal
$89.68
VINTAGE PYREX PRIMARY BLUE MEDIUM Refrigerator Jar WITH ORIGINAL LID 502B 502C
VINTAGE PYREX PRIMARY BLUE MEDIUM Refrigerator Jar WITH ORIGINAL LID 502B 502C
$17.09
BEAUTIFUL FENTON COBALT BLUE LIDDED CANDY JAR
BEAUTIFUL FENTON COBALT BLUE LIDDED CANDY JAR
$44.99
Hocking DEPRESSION GREEN 7 OVAL REFRIGERATOR JAR DISH w LID
Hocking DEPRESSION GREEN 7 OVAL REFRIGERATOR JAR DISH w LID
$25.00
Hocking VITROCK WHITE w RED TRIM 20 oz TEA JAR CANISTER w SCREW LID
Hocking VITROCK WHITE w RED TRIM 20 oz TEA JAR CANISTER w SCREW LID
$75.00
VINTAGE 70s ANCHOR HOCKING LIDDED JAR HAND PAINTED MANNER
VINTAGE 70s ANCHOR HOCKING LIDDED JAR HAND PAINTED MANNER
$9.99
Vintage Strawberry Shaped jar with lid stem is broke and age crack under lid 3
Vintage Strawberry Shaped jar with lid stem is broke and age crack under lid 3
$5.00
Vintage Czechoslovakian Painted Floral Crystal Jam Jar w Silver Lid XLNT
Vintage Czechoslovakian Painted Floral Crystal Jam Jar w Silver Lid XLNT
$29.99
Waterford Crystal Glass Lismore Pattern Lidded Biscuit Cookie Jelly Bean Jar
Waterford Crystal Glass Lismore Pattern Lidded Biscuit Cookie Jelly Bean Jar
$30.00
Akro Agate 803 Mexicali Powder Cigarette Jar  Hat Lid Marbleized White Orange
Akro Agate 803 Mexicali Powder Cigarette Jar Hat Lid Marbleized White Orange
$11.99
Unusual Vintage White Milk Glass Jar with Glass Overlapping Lid Floral Scrolls
Unusual Vintage White Milk Glass Jar with Glass Overlapping Lid Floral Scrolls
$25.00
VTG ANCHOR HOCKING FENCE FLOWERS  BABY ANIMALS CANISTER JAR W LID RED  YELLOW
VTG ANCHOR HOCKING FENCE FLOWERS BABY ANIMALS CANISTER JAR W LID RED YELLOW
$7.99
VINTAGE DEPRESSION ERA GOLDEN BROWN GLASS LIDDED CANDY JAR APOTHECARY JAR
VINTAGE DEPRESSION ERA GOLDEN BROWN GLASS LIDDED CANDY JAR APOTHECARY JAR
$2.89
Crystal Jar with Lid
Crystal Jar with Lid
$20.00
Lovely Signed Lalique Frosted  Clear Canards Crystal Powder Jar w Lid 2 1 2
Lovely Signed Lalique Frosted Clear Canards Crystal Powder Jar w Lid 2 1 2
$79.99
Fenton 2002 Limited Edition Sunset Overlay Ginger Jar With Lid
Fenton 2002 Limited Edition Sunset Overlay Ginger Jar With Lid
$69.99
VINTAGE ITALIAN MURANO FROSTED BLUE ART GLASS CANDY BOWL JAR  LID COVER ITALY
VINTAGE ITALIAN MURANO FROSTED BLUE ART GLASS CANDY BOWL JAR LID COVER ITALY
$24.95
Princess House Heritage Crystal Jar with Lid Sticker
Princess House Heritage Crystal Jar with Lid Sticker
$12.50
Princess House Heritage Crystal Candy Jar with Lid
Princess House Heritage Crystal Candy Jar with Lid
$12.50
FOSTORIA WINDSOR CROWN TOPAZ YELLOW Candy Jar Canister Glass with Lid MINT
FOSTORIA WINDSOR CROWN TOPAZ YELLOW Candy Jar Canister Glass with Lid MINT
$69.99
Vintage Mayfair Pink Depression Glass Canister Biscuit or Cookie Jar W Lid
Vintage Mayfair Pink Depression Glass Canister Biscuit or Cookie Jar W Lid
$25.80
Vintage Fenton Jar With Lid Thistle and Star Pattern Lustrous
Vintage Fenton Jar With Lid Thistle and Star Pattern Lustrous
$25.00
Lead Crystal Lidded Biscuit Cookie Candy Barrel Jar Canister
Lead Crystal Lidded Biscuit Cookie Candy Barrel Jar Canister
$29.99
Tiara Indiana Amber Glass Canister Lidded Jar Vintage Sandwich Daisy Pattern
Tiara Indiana Amber Glass Canister Lidded Jar Vintage Sandwich Daisy Pattern
$19.99
Vintage Mayfair Cobalt Blue Carnival Glass Apothecary Canister Cookie Jar
Vintage Mayfair Cobalt Blue Carnival Glass Apothecary Canister Cookie Jar
$26.99
Vintage Uranium Green Glass 3 Spice Jar with Metal Decorative Lid
Vintage Uranium Green Glass 3 Spice Jar with Metal Decorative Lid
$14.00
Czechoslovakia Pink Cut Glass Powder Jar w Lid Vintage
Czechoslovakia Pink Cut Glass Powder Jar w Lid Vintage
$17.50
Princess House Heritage Condiment or Jelly or Sugar Jar with Lid
Princess House Heritage Condiment or Jelly or Sugar Jar with Lid
$8.50
425 CUT CRYSTAL LIDDED MUSTARD JAR SAW TOOTH RIM  BEAUTIFUL
425 CUT CRYSTAL LIDDED MUSTARD JAR SAW TOOTH RIM BEAUTIFUL
$24.99
PRINCESS HOUSE Heritage Etched Crystal Apothecary Candy Jar Dish with Lid
PRINCESS HOUSE Heritage Etched Crystal Apothecary Candy Jar Dish with Lid
$9.99
Vintage Cased Glass Apothecary Jar And Lid  Czech SUPER HEAVY and Stunning
Vintage Cased Glass Apothecary Jar And Lid Czech SUPER HEAVY and Stunning
$85.00
Vtg Glass Storage Jar with Metal Clamp Lid Rubber Gasket made in INDONESIA 35
Vtg Glass Storage Jar with Metal Clamp Lid Rubber Gasket made in INDONESIA 35
$8.99
Fostoria American Straw Jar  Cover Lid 2056 Made Only 1915 1928 BEAUTIFUL
Fostoria American Straw Jar Cover Lid 2056 Made Only 1915 1928 BEAUTIFUL
$250.00
Vintage FENTON Blue Opalescent Hobnail Footed Candy Jar w Lid 3980
Vintage FENTON Blue Opalescent Hobnail Footed Candy Jar w Lid 3980
$18.95
Rosenthal Germany Studio Linie Crystal Twisted Stepped Jars 2 One with Lid
Rosenthal Germany Studio Linie Crystal Twisted Stepped Jars 2 One with Lid
$70.00
Marquis Waterford Crystal Canterbury Biscuit Barrel Cookie Jar w Lid 7 1 2
Marquis Waterford Crystal Canterbury Biscuit Barrel Cookie Jar w Lid 7 1 2
$90.00
Vintage Jeannette Glass Co Cube Cubist Pink 3 toed Powder Jar w Lid
Vintage Jeannette Glass Co Cube Cubist Pink 3 toed Powder Jar w Lid
$14.99
VINTAGE MILK GLASS JAR WITH LID RED ACCENT MADE IN WESTERN GERMANY RETRO 1
VINTAGE MILK GLASS JAR WITH LID RED ACCENT MADE IN WESTERN GERMANY RETRO 1
$14.99
VINTAGE MILK GLASS JAR WITH LID RED ACCENT MADE IN WESTERN GERMANY RETRO 2
VINTAGE MILK GLASS JAR WITH LID RED ACCENT MADE IN WESTERN GERMANY RETRO 2
$12.99


Recently Purchased Jar Lid:


eapg frosted lion decorated round covered jar with lid set, vtg empoli glass apothecary jar dish circus tent lid amberina mid century, stunning mid century vintage italian art glass apothecary jarbonbon lidded bowl, 2 vintage good seasons jars one with lid, waterford cut crystal honey jar lid and silver spoon, mid century modern clear glass candy jar with lid, anchor hocking clear sandwich glass cookie jar with lid , anchor hocking wexford cookie jar 1940s diamond clear glass canister lid biscuit, antique baccarat rose tiente swirl pattern 2 round dresser jars no lids, antique baccarat rose tiente swirl pattern 2 square dresser jars no lids, amber canistercookie or 8 tall apothecary jar with lid by le smith, pressed glass pumpkin bowl lid big cookie jar ribbed sides, heavy cut irish crystal 8 lidded signed innifree nutscookie jar, bumble bee frog blown glass art jar with lid by dave smallhouse, vintage pressed glass decorative jar w lidemptyfor qtips cotton candy etc, glass jar christmas tree red lid holiday candy action carlton glass 3l, glass jar wblack wood lid candy dish canister bathroom storage container, green spiral candy jar with lid by hocking glass, vintage tang glass jar juice pitcher orange plastic pour lid anchor hocking 1qt, vintage bc comics frosted glass cookie jar with lid johnny hart 1970s caveman, original cambridge label on green urn canister jar with lid, fenton opalescent cranberry coin dot ginger jar with base amp; lid, rare vintage cobalt blue ornate glass apothecary jar w lid great , vintage cut glass candy bowl crystal dish dome lid clear jar art deco glassware, heavy footed cut glass crystal jam jelly condiment jar slotted lid w spoon, 4 12 tall webb corbett england crystal condiment jar w slotted lid, depression pink diamond optic blue riggerie applied accent jar lidded art glass, original label on connoisseur sunflower refrigerator jar with lid plus 2 mugs, 2 vtg anchor hocking retro kitchen storage jar glass canister w1 lid, corelle forever yours hearts acrylic set 2 canisters snack lock lid storage jar, cobolt blue glass jar with lid from italy, mosser lady powder jar or box lidded forest green art glass figurine 5 tall, vintage glass ruby red jelly jam covered jar with glass lid , indiana glass tiara frosted blue diamond point 155 compote urn candy jar wlid, 2 vintage hazel atlas green depression glass storage jars wlids, carnival glass dresser jars dog lid lot of three, vintage ruby glass with crystal lid american apothecary jarcanister, anchor hocking cookie biscuit jar with lid mayfair open rose vintage 1930s , anchor hocking cookie biscuit jar with no lid mayfair open rose vintage 1930s , vintage large green 14 tall blown glass jar with glass lid, 1880s 10 12 vintage hobbs brockunier amp; co art glass lidded hobnail jar vase, imperial glass candlewick crystal condiment mustard jam jar replacement lid gg, consolidated glass florette quilt pink satin cased biscuit jar silverplate lid, vintage anchor hocking christmas tree candy jar lidded apothecary shape , fenton white milk glass hobnail candy jar powder box replacement lid 6 dia, waterford crystal giftware honey jar clear glass no lid signed 4 14, kralik bohemian veined threaded glass tobaccobiscuittea jar missing lid, perfect heisey glass flat panel tobacco jar missing lid but beautiful piece, vintage fenton glass white opalescent hobnail ginger jar no lid, vintage 1950s hazel atlas red strawberry jar jam milk glass w lid, vintage blue glass apothecary jars canisters stash pot ground lids stash jars , eapg glass crystal ribs amp; diamonds pickle jar domed lid and fork, rare fenton green amp; white slag glass grape amp; cable tobacco jar no lid, fenton blue marble blue amp; white slag glass grape amp; cable tobacco jar no lid 600, vintage lot of four kerr jelly glass with metal lid jars, vintage green moon amp; stars l e smith glass lidded candy dish jar, american brilliant cut glass 6 wide jewelry or powder boxjar lid no base, apothecary jar vintage glass vanity rare yellow canister fitting lid patterned, jelly or jam jar wlid vintage waterford crystal alana pattern excellent, mint baccarat crystal missouri harcourt jam mustard jar amp; lid, fire king ivory grease jar with tulip lid, thomas james cut glass crystal canistercandybiscuit jar w lid 7 tall clear, vintage corningwarepyrex spice of life clear glass canister jar wlid, jeannette 125 milkglass pedestal candy jar no lid acorns oak leaves rare find , mckee red nautical ships drippings bowl jar 4 x 5 clear lid, waterford crystal honey jam condiment jar with lid, cameo depression glass cookie jar with lid in green, vtg marigold carnival glass dog powdertrinket lidded jar 55 x 4 free ship, waterford alana honey jam preserve mustard jar with lid great condition, vintage fenton hobnail milk glass jam mustard condiment jar with lid , hocking pink depression glass old colony lace edge candy jar amp; lid perfect, tall vintage crinkle rain daisy flower canister jar anchor hocking sealed lid, hazel atlas milk glass white apple shaped jellyjam jar with lid vintage 50s, 2 vintage atlas crisco jars with lids, waterford crystal lismore biscuit jar no lid, vintage hazel atlas apple milk glass jam jar with lid, fifth avenue crystal genevieve footed jar with lid candy or vanity jar nib, vintage 1986 anchor hocking glass canister jar spring flower tulip lid rare , jeannettedepression clear glass ribbed amp; dot relish jarlidded dish 194050s, princess house heritage crystal apothecary candy jar dish lid etched , princess house heritage cotton ball jar candy dish lid 5 12 apothecary vanity, new in box signed waterford lismore honey jar condiment jar pot , vintage owens illinois green glass flour canister jar no lid label wear ribbed, new anchor hocking dunkin donuts clear glass pumpkin cookie candy jar with lid, italian empoli 8 blue apothecary bon bon jar twisted pedestal embossed lid, vintage amber glass jar 95 with lid, pedestal jar frosted glass with lid vintage, 2 vintage anchor hocking clear glass canister jars wwood lids 2 , cut glass jar w glass lid, vintage clear tiara sandwich pattern cookie jar wlid, eapg pressed glass candy dresser jar lid footed pink amp; gold gilt antique grape, vintage hocking green glass princess pattern cookie jar with lid, depression era mustard serving jar cobalt blue wrusty lid amp; glass serving spo, italy vintage 75 amber glass lidded candy jar bowl dish ornament apothecary, italy vintage 95 blue glass lidded candy jar bowl dish ornament apothecary, anchor hocking fire king white grapes paneled cookie jar no lid, vintage empoli italian glass mid century green apothecary candy jar w lid



Comments are closed.