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Area of a Semicircle Worksheet

Calculate the area of semicircles given various dimensions, including diameter and radius, at a Grade 12 level.

Grade 12 Math GeometryArea of a Semicircle
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Includes

Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseLong Answer

Standards

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

Topics

mathgeometrysemicircleareagrade 12
7 sections · Free to use · Printable
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Area of a Semicircle

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Read each question carefully and calculate the area of the semicircle. Use π ≈ 3.14 and round your answers to two decimal places where necessary.

1. Find the area of a semicircle with a radius of 7 cm.

7 cm

2. A semicircle has a diameter of 18 meters. Calculate its area.

18 m

3. The formula for the area of a semicircle is  .

4. If the radius of a semicircle is 10 inches, its area is approximately   square inches.

5. A semicircle with a diameter of 20 mm has a radius of   mm.

6. Which of the following best approximates the area of a semicircle with a radius of 5 cm?

a

39.27 cm²

b

78.54 cm²

c

157.08 cm²

d

19.63 cm²

7. If the area of a semicircle is 28.26 square units, what is its approximate radius?

a

3 units

b

6 units

c

9 units

d

18 units

8. The area of a semicircle is exactly half the area of a full circle with the same radius.

T

True

F

False

9. Doubling the radius of a semicircle will double its area.

T

True

F

False

10. A circular pizza with a diameter of 16 inches is cut in half. What is the area of one of the semicircular pieces?