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Area of a Circle Sector Worksheet

Calculate the area of circle sectors given radius and angle for Grade 7 math students.

Grade 7 Math GeometryAreaArea of a Circle Sector
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgeometrycircle sectorareagrade 7
7 sections · Free to use · Printable
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Area of a Circle Sector

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

1. A circle has a radius of 8 cm. Find the area of a sector with a central angle of 90°.

8 cm90°

2. The formula for the area of a circle sector is A = (θ/360°) × π × r², where θ is the central angle in   and r is the   of the circle.

3. What is the area of a sector with a radius of 10 cm and a central angle of 180°?

a

78.5 cm²

b

157.0 cm²

c

314.0 cm²

d

50.0 cm²

4. A circular pizza has a radius of 20 cm. If a slice of pizza represents a sector with a central angle of 45°, what is the area of that slice?

20 cm45°

5. If the central angle of a sector is doubled, the area of the sector also doubles.

T

True

F

False