Area of a Semicircle Worksheet

Calculate the area of semicircles given various dimensions, including problems involving perimeter and composite shapes.

Grade 10 Math GeometryArea of a Semicircle

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Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.4CCSS.MATH.CONTENT.8.G.C.9

Topics

geometrysemicircleareamathgrade-10

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Area of a Semicircle

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Read each question carefully and show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.

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

2. A semicircle has a diameter of 18 inches. Find its area.

3. The perimeter of a semicircle is 25.7 cm. What is its area?

4. If the area of a semicircle is 39.27 cm², what is its radius?

5 cm

7 cm

10 cm

12 cm

5. Which formula correctly represents the area of a semicircle?

πr²

2πr

½πr²

πd

6. The area of a full circle is given by the formula , so the area of a semicircle is half of that.

7. If the diameter of a semicircle is 10 meters, its radius is meters.

8. The area of a semicircle is always greater than its perimeter.

True

False