This worksheet covers Arcs, 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 length of an arc that subtends a central angle of 60 degrees? (Use )
10.47 cm
20.94 cm
15.71 cm
5.24 cm
In a circle with a radius of 8 inches, what is the measure of the central angle in degrees if the length of the arc is 12.56 inches? (Use )
60 degrees
90 degrees
45 degrees
75 degrees
If an arc length is 15 meters and the radius of the circle is 10 meters, what is the central angle in degrees? (Use )
86.57 degrees
90 degrees
100 degrees
120 degrees
A circle has a circumference of 31.4 cm. What is the measure of the arc that subtends a central angle of 90 degrees? (Use )
7.85 cm
15.7 cm
10.47 cm
5.24 cm
In a circle with a radius of 5 cm, what is the length of an arc that subtends a central angle of 120 degrees? (Use )
6.28 cm
10.47 cm
13.09 cm
5.24 cm
A circular track has a radius of 20 meters. What is the length of the arc that corresponds to a central angle of 45 degrees? (Use )
15.71 meters
5.24 meters
10.47 meters
25.12 meters
What is the measure of the central angle in degrees that intercepts an arc length of 25 cm in a circle with a radius of 15 cm? (Use )
75 degrees
90 degrees
100 degrees
85 degrees
A sector of a circle has an area of 20 square meters and a radius of 10 meters. What is the measure of the central angle in radians? (Use )
0.63 radians
1.57 radians
2.0 radians
3.14 radians
If an arc length of 14 cm corresponds to a central angle of 120 degrees in a circle, what is the radius of that circle? (Use )
6.67 cm
10.0 cm
12.0 cm
5.24 cm
A circle has a radius of 12 inches. What is the length of an arc that subtends a central angle of 150 degrees? (Use )
31.4 inches
18.85 inches
23.56 inches
15.71 inches
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