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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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Set 5 — Mastery
A circle has a radius of 10 cm. What is the area of a sector with a central angle of 60 degrees?
50 \pi \text{ cm}^{2}
100 \pi \text{ cm}^{2}
33.33 \pi \text{ cm}^{2}
25 \pi \text{ cm}^{2}
If the area of a sector is 20 \pi \text{ cm}^{2}$ and the radius is 8 cm, what is the measure of the central angle in degrees?
45^\circ
30^\circ
60^\circ
90^\circ
A circular pizza has a diameter of 12 inches. What is the area of a slice that represents 1/4 of the pizza?
9\pi \text{ in}^{2}
6\pi \text{ in}^{2}
3\pi \text{ in}^{2}
12\pi \text{ in}^{2}
A sector of a circle has a radius of 5 meters and a central angle of 120 degrees. What is the length of the arc of this sector?
\frac{5\pi}{3} \text{ m}
10 \text{ m}
\frac{10\pi}{3} \text{ m}
5 \text{ m}
If a sector has an arc length of 10 cm and a radius of 8 cm, what is the central angle in degrees?
90^\circ
60^\circ
120^\circ
45^\circ
A sector of a circle has a central angle of 135 degrees and a radius of 10 cm. What is the area of this sector?
25\pi \text{ cm}^{2}
50\pi \text{ cm}^{2}
30\pi \text{ cm}^{2}
15\pi \text{ cm}^{2}
A circle has a circumference of 40\pi cm. What is the measure of a sector with a central angle of 90 degrees?
10\pi \text{ cm}^{2}
20\pi \text{ cm}^{2}
30\pi \text{ cm}^{2}
5\pi \text{ cm}^{2}
What is the area of a sector with a radius of 6 cm and a central angle of 150 degrees?
18\pi \text{ cm}^{2}
12\pi \text{ cm}^{2}
9\pi \text{ cm}^{2}
15\pi \text{ cm}^{2}
If the area of a sector with a radius of 4 cm is 8\pi \text{ cm}^{2}$, what is the central angle?
180^\circ
90^\circ
120^\circ
60^\circ
A sector has a radius of 3 m and an arc length of 4.5 m. What is the central angle in degrees?
90^\circ
60^\circ
45^\circ
120^\circ
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