Question

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Find the arc length of the semicircle.

Answer 1

Explanation:

The formula for arc length (at least the geometric formula) is

`AL=(\theta)/(360)*\pi d`

What we have here is a perfect semicircle. A semicircle has a central angle measure of 180 degrees (that's our theta value) and this circle has a diameter of 12. Therefore,

`AL=(180)/(360)*12\pi` which simplifies nicely to

`AL=(1)/(2)*12(3.14)` which simplifies even further to

`AL=(1)/(2)*(37.68)` which gives you an arc length of

AL = 18.84 units

Answer 2

6pi

Explanation:

From Khan Academy