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Area and Circumference of a Circle Worksheet

A Grade 12 math worksheet on calculating the area and circumference of circles, including problems with given radius, diameter, and contextual applications.

Grade 12 Math GeometryAreaArea and Circumference of a Circle
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.4CCSS.MATH.CONTENT.HSG.GMD.A.1

Topics

mathgeometryareacircumferencecirclesgrade 12
7 sections · Free to use · Printable
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Area and Circumference of a Circle

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Read each question carefully and solve for the area or circumference of the circle as indicated. Show all your work. Use π ≈ 3.14 where necessary, and round your answers to two decimal places.

1. A circular garden has a radius of 7 meters. Calculate its circumference and area.

2. The diameter of a bicycle wheel is 60 cm. Find the circumference and the area of the wheel.

3. If the circumference of a circle is 31.4 units, what is its approximate radius?

a

5 units

b

10 units

c

15 units

d

20 units

4. What is the area of a circle with a diameter of 14 cm?

a

21.98 cm²

b

43.96 cm²

c

153.86 cm²

d

615.44 cm²

5. The formula for the circumference of a circle is C =   or C =  .

6. The formula for the area of a circle is A =  .

7. Doubling the radius of a circle doubles its area.

T

True

F

False

8. The ratio of a circle's circumference to its diameter is always π.

T

True

F

False

9. A circular swimming pool has a circumference of 50.24 meters. What is the area of the pool's surface?

10. If the area of a circular pizza is 113.04 square inches, what is the diameter of the pizza?