Question

A central angle in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of in degrees. (Round your answer to one decimal place.)

= °

Find the measure of in radians. (Round your answer to two decimal places.)
=
rad

Answer 1

Answer: To find the measure of angle θ in degrees, we can use the formula:

θ = (arc length / radius) * 180°

Given that the radius is 4 m and the arc length is 5 m, we can substitute these values into the formula:

θ = (5 m / 4 m) * 180°

θ = 1.25 * 180°

θ = 225°

Therefore, the measure of angle θ is 225°.

To find the measure of angle θ in radians, we can use the formula:

θ = arc length / radius

Again, substituting the given values:

θ = 5 m / 4 m

θ = 1.25 radians

Rounded to two decimal places, the measure of angle θ in radians is approximately 1.25 radians.

Explanation: