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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 2 — Foundation
A circle has a radius of 6 cm. What is the area of a sector that subtends an angle of 60 degrees at the center of the circle?
18.84 cm²
11.76 cm²
12.56 cm²
9.42 cm²
If a sector of a circle has an area of 20 cm² and subtends an angle of 90 degrees, what is the radius of the circle?
5.06 cm
8.00 cm
4.00 cm
6.00 cm
A circle has a radius of 10 m. What is the length of a sector that subtends an angle of 45 degrees at the center?
7.85 m
17.50 m
15.70 m
10.00 m
What is the angle in degrees of a sector with an area of 15 cm² in a circle with a radius of 5 cm?
72 degrees
36 degrees
60 degrees
90 degrees
A sector of a circle has a central angle of 120 degrees and the radius is 12 cm. What is the area of the sector?
25.12 cm²
30.16 cm²
28.26 cm²
18.84 cm²
If the radius of a circle is doubled, how does the area of a sector change for the same angle?
It quadruples
It doubles
It stays the same
It halves
A circle has a circumference of 31.4 cm. What is the radius of the circle?
5 cm
10 cm
7.5 cm
15.7 cm
What is the length of the arc of a sector with a central angle of 180 degrees in a circle with a radius of 8 cm?
12.56 cm
16.00 cm
10.04 cm
14.00 cm
A sector has an area of 25 cm² and subtends an angle of 72 degrees. What is the radius of the circle?
9.23 cm
7.50 cm
8.00 cm
5.00 cm
A circle has a radius of 4 cm. What is the area of the entire circle?
50.24 cm²
25.12 cm²
20.16 cm²
12.56 cm²
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