Question

Find the length of the bolded arc if the radius is 4cm and the angle is 118 degrees.

Answer 1

8.23 cm

Explanation:

A circle is given to us and we need to find out the length of the bolded arc . The arc subtends an angle of 118° at the centre . And the radius of the circle is 4cm .As we know that , length of the arc is given by ,

`\longrightarrow Length_(arc)= (\theta)/(360)* 2\pi r`

Here ,

• Angle is 118° .
• Radius is 4cm .

On substituting the respective values,

`\longrightarrow Length_(arc)=(118^o)/(360^o)* 2(3.14)(4cm)`

Simplify ,

`\longrightarrow Length_(arc)= 0.3277 * 25.18 \ cm`

Multiply ,

`\longrightarrow \underline{\underline{Length _(arc)= 8.23 \ cm}}`

This is the required answer!