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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 4 — Mastery
A circle has a radius of 10 cm. What is the area of a sector that subtends an angle of 60 degrees at the center of the circle?
π\times 25
50\pi
100\pi
25\pi
If the area of a sector is square units and the radius of the circle is 10 units, what is the angle in degrees of the sector?
72
36
60
50
A sector of a circle has a radius of 8 inches and a central angle of 90 degrees. What is the length of the arc of the sector?
4\pi
8\pi
2\pi
6\pi
A circle has a circumference of 40 cm. What is the area of a sector that subtends an angle of 45 degrees?
100\pi
20\pi
10\pi
15\pi
A sector of a circle has an area of square units and a radius of 5 units. What is the central angle in degrees?
72
60
90
36
If a circle has a radius of 12 cm, what is the area of a sector with a central angle of 150 degrees?
30\pi
24\pi
36\pi
48\pi
A circle has a diameter of 16 inches. What is the length of the arc of a sector that subtends an angle of 120 degrees?
16\pi
24\pi
32\pi
12\pi
A sector of a circle has an area of 25\pi square units and a central angle of 90 degrees. What is the radius of the circle?
10
5
15
20
A circle's radius is halved, and the central angle of a sector remains the same. How does the area of the sector change?
It is halved.
It is quartered.
It remains the same.
It doubles.
A sector with a radius of 6 cm and an angle of 300 degrees is cut from a circle. What is the area of the remaining part of the circle?
12\pi
18\pi
24\pi
30\pi
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