Question

What is the length (in terms of π)  of the arc that subtends an angle of 36° at the centre of a circle of radius 5 cm?

Answer 1

We have 

`r=5 cm`

`θ=36°`

We have to find the length of the arc.

Lenth of the arc=`θ/360xx2pi r`

Substituting the values we get,

Lenth of the arc=`36/360xx2pixx5`................(1)

Now we will simplify the equation (1) as below,

Lenth of the arc=`1/10xx2pixx5` 

Lenth of the arc=`1/2xx2pi`

Lenth of the arc=`pi`

Therefore, length of the arc is` pi` cm