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, theta ?
Answer
A
theta is equal to 7 plus 5
B
theta is equal to 7 fifths
C
theta is equal to 5 sevenths
D
theta is equal to 7 times 5
Explanation
Use the arc-length formula s = rθ, where θ is measured in radians. With arc length 7 ft and radius 5 ft, θ = s/r = 7/5. So the equation is θ = 7 fifths, choice A.
AI-written and checked against the verified answer.