Grade 8 · Math

8th grade Area and perimeter of shapes with curved parts worksheet

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Area and perimeter of shapes with curved parts

Grade 8 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

Milo measures a flower bed with two round ends. What is its area, in square meters? Use π = 3.14. Do not round.
Noah measures a rug with two round ends. What is its area, in square feet? Use π = 3.14. Do not round.
Pia measures the grass inside the school track. What is its area, in square meters? Use π = 3.14. Do not round.
Ren puts a border all around a quarter-circle flower bed, the straight edges and the curve. How long is the border, in meters? Use π = 3.14. Do not round.
Tala puts a border all around a quarter-circle rug, the straight edges and the curve. How long is the border, in feet? Use π = 3.14. Do not round.
Zee puts a border all around a quarter-circle sandbox, the straight edges and the curve. How long is the border, in meters? Use π = 3.14. Do not round.
Bo has a paper square with the biggest circle cut out. The square's side is 8 inches. What area of paper is left, in square inches? Use π = 3.14. Do not round.
Esme has a square card with a round hole. The square's side is 12 cm. What area of card is left, in square cm? Use π = 3.14. Do not round.
Jun has a square block top with a round label. The square's side is 20 cm. What area of the top is not covered, in square cm? Use π = 3.14.
Kira has a square table with a round cloth. The square's side is 14 inches. What area of the table top shows, in square inches? Use π = 3.14. Do not round.

Area and perimeter of shapes with curved parts. Every version has 10 questions, and the answer key prints on the second page.

I can find the area of a shape made of a rectangle and part of a circle, adding or taking away pieces.
I can find the distance around such a shape, using only the outside edge and the right part of the circumference.
I can see that two half circles make one whole circle, and a quarter circle is a quarter of one.

Standard: state-only (CCSS 6.G.A.1, 7.G.B.6)

composite shape: A shape made of simpler pieces put together or cut away.

half circle: A circle cut through its middle: half the area, half the curve.

quarter circle: One of four equal pieces of a circle, with a square corner.

arc: The curved part of a circle's edge.

perimeter: The distance around the outside edge only.

Your child used a whole circle where the shape has only part of one. Half a circle is half the area and half the curved edge.

Your child found the half circle but left out the rectangle it is attached to. A composite shape is the sum of its pieces.

Your child counted the straight side where the curve is attached. That side is inside the shape, not on its edge: the curve replaces it.

What is the most common mistake with area and perimeter of shapes with curved parts?

Your child used a whole circle where the shape has only part of one. Half a circle is half the area and half the curved edge.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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