Find the radian measure of the central angle of a circle of radius r=90 inches that intercepts an arc of length s=130 inches.

Answer 1

The formula you can use is S=rθ.

S is the arc length

r is the radius

θ is the central angle in radians

Plugging values in:

130=90θ Divide both sides by 90

130/90=90θ/90 Simplify

θ=1.44 radians

Answer 2

circumference C = 2*pi*r

the angle is 2*pi times the ratio of the arc length to the circumferences, so:

Angle = 2*pi* (130 / 2*pi*r) = 130 / r