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Area and Circumference of a Circle

A Grade 9 math worksheet covering the calculation of area and circumference of circles, including word problems.

Grade 9 Math GeometryAreaArea and Circumference of a Circle
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.7.G.B.4

Topics

mathgeometrycirclesareacircumferencegrade 9
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 show your work. Use π ≈ 3.14 for all calculations unless otherwise specified. Round your answers to two decimal places where appropriate.

1. What is the formula for the circumference of a circle?

a

C = πr²

b

C = 2πr

c

C = 2r

d

C = πd²

2. If the radius of a circle is 5 cm, what is its area?

a

15.70 cm²

b

25 cm²

c

78.50 cm²

d

31.40 cm²

3. The   of a circle is the distance around its edge.

4. The   of a circle is the space enclosed within its boundary.

5. The ratio of a circle's circumference to its diameter is represented by the Greek letter  .

6. Calculate the circumference of a circle with a diameter of 10 meters.

10 m

7. A circular garden has a radius of 7 feet. What is the area of the garden?

7 ft

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

T

True

F

False

9. The diameter of a circle is twice its radius.

T

True

F

False

10. A circular swimming pool has a circumference of 31.4 meters. What is the diameter of the pool? What is the area of the pool's surface?