Question

Find the measure of the central angle defined by the arc in radians if the radius is 23 units and the arc length is 23π units.

a. ???? radians
b. 7????/4 radians
c. 5????/4 radians
d. 3????/2 radians
e. None of these are correct.

Answer 1

The measure of the central angle defined by the arc in radians can be found using the formula:

θ = s/r

where θ is the central angle in radians, s is the arc length, and r is the radius.

Plugging in the given values:

θ = (23π)/(23)

θ = π

Therefore, the correct answer is e. None of these are correct, as the measure of the central angle in radians is π.