Question

A central angle measuring 45 degrees is in a circle of radius 2 meters. Find the length of the of circle subtended by the angle

Answer 1

The arc length formula is

`l=(\theta)/(360)\cdot2\pi r`

Where

l is the arc length

θ is the central angle

r is the radius of the circle

Given,

θ = 45

r = 2

Substituting into the formula,

`\begin{gathered} l=(45)/(360)\cdot2\pi(2) \\ l=(1)/(8)\cdot4\pi \\ l=(4\pi)/(8) \\ l=(\pi)/(2) \end{gathered}`AnswerE