Question

Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal.

Answer 1

The arc length of the semicircle is
`5 \pi\ units` or
`15.7\ units`

Explanation:

The complete question in the attached figure

we know that

The circumference of a semicircle is given by the formula

`C=(1)/(2)\pi D`

where

D is the diameter of the semicircle

we have

`D=10\ units`

substitute

`C=(1)/(2)\pi (10)`

`C=5 \pi\ units` ----> exact value

Assume

`\pi =3.14`

`C=5(3.14)=15.7\ units` ----> approximate value

therefore

The arc length of the semicircle is
`5 \pi\ units` or
`15.7\ units`