Question

In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the

radius of the circle in simplest form.

Answer 1

2 units

Explanation:

We are given that

Angle ,
`\theta=(\pi)/(2)`radian

Length of an arc=
`\pi`

We have to find the radius of circle in simples form.

We know that

`\theta=(l)/(r)`

Where l=Length of arc

r=Radius of circle

Using the formula

`(\pi)/(2)=(\pi)/(r)`

`r=(2* \pi)/(\pi)`

`r=2`units

Hence, the radius of the circle=2 units