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Sectors

This worksheet covers Sectors, which is part of the Circle Measurements and Graphs module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Sectors

Circle Measurements and Graphs • SAT Math

Set 1 — Foundation

A circle has a radius of 6 cm. What is the area of a sector with a central angle of 60 degrees? $\text{Area} = \frac{\theta}{360} \times \pi r^{2}$

$6\pi\, \text{cm}^{2}$

$12\pi\, \text{cm}^{2}$

$18\pi\, \text{cm}^{2}$

$36\pi\, \text{cm}^{2}$

If a sector has an area of 15\pi \text{ cm}^{2} and a radius of 5 cm, what is the central angle of the sector in degrees? $\text{Area} = \frac{\theta}{360} \times \pi r^{2}$

$60\degree$

$90\degree$

$108\degree$

$120\degree$

A circle has a circumference of 31.4 cm. What is the radius of the circle? Use $\pi \approx 3.14$ . $C = 2\pi r$

$5\, \text{cm}$

$10\, \text{cm}$

$15\, \text{cm}$

$20\, \text{cm}$

A sector of a circle has a radius of 4 m and a central angle of 90 degrees. What is the length of the arc of the sector? $\text{Arc Length} = \frac{\theta}{360} \times 2\pi r$

$2\pi\, \text{m}$

$3\pi\, \text{m}$

$4\pi\, \text{m}$

$6\pi\, \text{m}$

What is the area of a circle with a radius of 10 cm? Use $\pi \approx 3.14$ . $A = \pi r^{2}$

$314\, \text{cm}^{2}$

$100\, \text{cm}^{2}$

$200\, \text{cm}^{2}$

$50\, \text{cm}^{2}$

A sector of a circle has a radius of 8 m and a central angle of 45 degrees. What is the area of the sector? $\text{Area} = \frac{\theta}{360} \times \pi r^{2}$

$8\pi\, \text{m}^{2}$

$12\pi\, \text{m}^{2}$

$16\pi\, \text{m}^{2}$

$20\pi\, \text{m}^{2}$

If a circle has a diameter of 14 cm, what is the radius? $r = \frac{d}{2}$

$7\, \text{cm}$

$14\, \text{cm}$

$28\, \text{cm}$

$21\, \text{cm}$

A circle has a radius of 3 meters. What is the circumference of the circle? Use $\pi \approx 3.14$ . $C = 2\pi r$

$6.28\, \text{m}$

$9.42\, \text{m}$

$12.56\, \text{m}$

$15.70\, \text{m}$

If the area of a circle is 28.26 cm², what is the radius? Use $\pi \approx 3.14$ . $A = \pi r^{2}$

$3\, \text{cm}$

$5\, \text{cm}$

$7\, \text{cm}$

$10\, \text{cm}$

10.

What is the area of a sector with a radius of 10 cm and a central angle of 30 degrees? $\text{Area} = \frac{\theta}{360} \times \pi r^{2}$

$\frac{25\pi}{3}\, \text{cm}^{2}$

$5\pi\, \text{cm}^{2}$

$10\pi\, \text{cm}^{2}$

$15\pi\, \text{cm}^{2}$

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Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet