Question

Find the length of STV in the figure.

Answer 1

d

Explanation:

took the test

Answer 2

Answer: The length of STV is about 76.83 in.

Explanation:

The length of an arc is given by :-

`l=(\theta)/(360^(\circ))*2\pi r`, where r= radius of the cirle,
`\theta` is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV =
`140^(\circ)`

Then, Central angle of arc SCV =
`360^(\circ)-140^(\circ)=220^(\circ)`

Then, the length of the arc STV =

`l=(220^(\circ))/(360^(\circ))*2((22)/(7)) (20)\\\\=(11)/(18)*(880)/(7)\\\\=76.8253968254\approx76.83\text{ in.}`

Hence, the length of STV is about 76.83 in.