Question

The radius of a circle is 2 feet. Central angle AOB cuts off arc AB. The length of arc AB is pi/6 yards. What is the radian measure

of angle AOB?

Answer 1

The answer to your problem is, radian measure of angle AOB is π /3 radian

Explanation:

How to find the length of an arc:

Arc Length (L) = θ × r

θ being the radian measure of the angle and r is the radius of the circle

From what is give;

L = 2π/9 yards, r = 2 feet = 2/3 yard

Using the formula, L = θ x r

Then concluding to:

2π/9 = θ × 2/3

θ = (2π × 3) / (9×2)

θ = π /3 radian

Thus the answer to your problem is, radian measure of angle AOB is π /3 radian