Question

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

Answer 1

Answer:

8.23 cm

Step-by-step 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 ,

$\longrightarrow Length_{arc}= \dfrac{\theta}{360}\times 2\pi r$

Here ,

• Angle is 118° .
• Radius is 4cm .

On substituting the respective values,

$\longrightarrow Length_{arc}=\dfrac{118^o}{360^o}\times 2(3.14)(4cm)$

Simplify ,

$\longrightarrow Length_{arc}= 0.3277 \times 25.18 \ cm$

Multiply ,

$\longrightarrow \underline{\underline{Length _{arc}= 8.23 \ cm}}$

This is the required answer!