Question

A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central angle is 5π/3 inches.
What is the value of θ , rounded to the nearest tenth of a radian?

θ≈

You get 25 points if answered :)

Answer 1

The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7