Question

Find the length of the circular arc subtended by the central angle whose angle measure is 135∘ and the diameter of the circle is 10 meters.

Answer 1

The formula to obtain the length of an arc(l) is,

`l=(\theta)/(360^0)*2\pi r`

Given that

`\begin{gathered} \theta=135^0 \\ \text{diameter}=10m,\text{ radius=}\frac{\text{diameter}}{2}=(10)/(2)=5 \\ \pi=(22)/(7) \end{gathered}`

Therefore,

`l=(135)/(360)*2*(22)/(7)*5=(29700)/(2520)=11.7857m`