A central angle 𝜃 in a circle of radius 3 m is subtended by an arc of length 4 m. Find the measure of 𝜃 in degrees
The formula to find the measure of a central angle in degrees is given by:
𝜃 = (arc length / radius) * (180 / π)
Given that the radius is 3 m and the arc length is 4 m, we can substitute these values into the formula to find 𝜃:
𝜃 = (4 / 3) * (180 / π)
Calculating this expression gives:
𝜃 ≈ 76.39 degrees
Therefore, the measure of 𝜃 is approximately 76.39 degrees.