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Arcs and Sectors Worksheet

Grade 10 math worksheet covering the calculation of arc length and sector area in circles.

Grade 10 Math GeometryArcs and Sectors
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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.B.5

Topics

geometrycirclesarcssectorsareacircumference
8 sections · Free to use · Printable
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Arcs and Sectors

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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. A circle has a radius of 10 cm. Calculate the length of an arc that subtends a central angle of 90 degrees.

r=10cm90°

2. Find the area of a sector with a radius of 12 meters and a central angle of 120 degrees.

r=12m120°

3. The area of a circle is 100π square units. What is the radius of the circle?

a

5 units

b

10 units

c

20 units

d

25 units

4. The formula for the length of an arc is  .

5. A sector is a region of a circle bounded by two radii and an  .

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

T

True

F

False

7. A circular garden has a diameter of 20 feet. A sprinkler waters a sector of the garden with a central angle of 150 degrees. What is the area of the watered portion of the garden?

r=10ft150°