Question

Need help with this please: Find the measure of a central angle of an arc whose length is 3pi units if the diameter of the circle is 6 units.

Answer 1

The angle subtended by the angle is π rad.

Explanation:

Length of an arc is expressed as rθ

L = rθ

r is the radius of the circle

θ is the angle subtended by the arc

Given L = 3π units

diameter = 2×radius = 6units

radius = 6/2 = 3units

Substituting this values in the formula to get θ we have;

3π = 3θ

θ = 3π/3

θ = π rad