A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?
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Step-by-step explanation:
To answer the question we need to write down the formula for getting the arc length.
The arc length which subtends an angle O at the center is given by :
l = 2 × pie × r × O/360°
Given the radius and the arc length we can get the angle O.
7 = 2 × 22/7 × 5 × O/360
7 = 220O/2520
O = 7 × 2520/220
O = 80.18°
This is the angle subtended by the arc at the center of the circle.
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