Grade 7 · Math

7th grade Area of a circle, and of parts of a circle worksheet

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Area of a circle, and of parts of a circle

Grade 7 Math Worksheet - Challenge Me

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

Tala's garden bed is a rectangle with a half circle on one end. The worms say the curve is nice. What is its area in square meters? Use π = 3.14. Do not round.
Bo's paper card is a square with a quarter circle cut away at one corner. It has one very smooth corner. What is its area in square cm? Use π = 3.14. Do not round.
Esme's quilt patch is a square with a quarter circle cut away at one corner. One corner went for a curve. What is its area in square inches? Use π = 3.14. Do not round.
Luz's hand mirror has a frame, a ring between two circles. The frame likes the attention. What is the area of the frame in square cm? Use π = 3.14. Do not round.
Noah's round pizza is 30 cm across. Each square cm needs 0.3 g of cheese. How many grams of cheese does it need? Use π = 3.14. Do not round.
Pia's round flower bed is 6 m across. Each square meter needs 3 liters of mulch. How many liters of mulch does it need? Use π = 3.14. Do not round.
Ren's round lawn is 10 m across. Each square meter needs 30 g of grass seed. Birds, look away. How many grams of grass seed does it need? Use π = 3.14. Do not round.
Zee's pizza is 32 cm across, cut into 8 equal slices. Each square cm gets 0.5 g of cheese. How many grams of cheese are on one slice? Use π = 3.14. Do not round.
Ari's pizza is 24 cm across, cut into 6 equal slices. Each square cm gets 0.5 g of cheese. How many grams of cheese are on one slice? Use π = 3.14. Do not round.
Bo's pizza is 20 cm across, cut into 5 equal slices. Each square cm gets 0.5 g of cheese. How many grams of cheese are on one slice? Use π = 3.14. Do not round.

7th grade Area of a circle, and of parts of a circle worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Area of a circle, and of parts of a circle. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the area of a circle from its radius or its diameter, and write it in terms of π or as a decimal.
I can find the area of a slice, a half circle, a quarter circle and a ring, and add or take away those parts in a bigger shape.
I can tell area (squares inside) from circumference (the distance around) and use an area in a real problem.

Standard: 7.G.B.4

Words to know

area: How many squares cover the inside of a shape, in square units.

radius: The distance from the middle of a circle to its edge. It is half a diameter.

diameter: The distance all the way across a circle, through the middle.

circumference: The distance around the edge of a circle.

pi (π): The number of diameters that fit around any circle: about 3.14.

wedge or slice: One of several equal pieces of a circle, with a point at the middle.

ring: The flat part between two circles that share a middle, like a plate's rim.

Common mistakes

Your child used the diameter where the radius belongs. The wedge rectangle is one radius tall, and the area rule uses the radius, which is half the diameter.

Your child found the distance around the circle instead of the area inside it. The wedge rectangle is only half the distance around wide.

Your child found only the width of the wedge rectangle and forgot its height. The area is the width times the height: 3.14 × radius, times the radius again.

What to say

Ask: what do you do to the diameter first?

Ask: are we measuring the edge or the inside?

Ask: how tall is the rectangle?

Questions parents ask

What is the most common mistake with area of a circle, and of parts of a circle?

Your child used the diameter where the radius belongs. The wedge rectangle is one radius tall, and the area rule uses the radius, which is half the diameter.

How can I help my child with area of a circle, and of parts of a circle?

Ask: what do you do to the diameter first?

Are these 7th 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.

More grade 7 math

See all grade 7 math

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