Grade 8 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Area and perimeter of shapes with curved parts

Grade 8 Math Worksheet - Building Confidence

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

Luz measures an arched window. What is the whole shape's area, in square feet? Do not round.
Milo measures a flower bed with one round end. What is the whole shape's area, in square meters? Do not round.
Noah measures an arched dollhouse door. What is the whole shape's area, in square inches? Do not round.
Pia measures a table top with one round end. What is the whole shape's area, in square feet? Do not round.
Ren puts trim all around the edge of an arched window. How many feet of trim go around? Do not round.
Tala puts trim all around the edge of a garden bed with one round end. How many meters of trim go around? Do not round.
Zee puts trim all around the edge of an arched garden door. How many feet of trim go around? Do not round.
Bo sketches a square lawn with a quarter-circle pond in one corner. What area is left, in square meters? Do not round.
Esme sketches a square patio with a quarter-circle flower bed in a corner. What area is left, in square feet? Do not round.
Jun sketches a paper square with a quarter circle cut from a corner. What area is left, in square inches? 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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records