Question

Find the length of FGE.E13610Note: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.

Answer 1

From the circle;

We are to find the length of arc FGE

Given

Radius of circle = 10

From the circle

The reflex angle is

`360^(\circ)-136^(\circ)=224^(\circ)`

Therefore the reflex angle = 224

We will calculate length of arc FGE using

`\text{Length of arcFEG =}\frac{reflex\text{ angle}}{360}*2\pi r`

Substituting values we get

`\begin{gathered} \text{Length of arc FGE =}(224)/(360)*2*3.14*10 \\ \text{Length of arc FGE }=(224*2*3.14*10)/(360) \\ \text{Length of arc FGE =}(14067.2)/(360) \\ \text{Length of arc FGE = 39.07} \end{gathered}`

Therefore the length of arc FGE is 39.1 to the nearest tenth