Question

In the following questions, the radius of circle O is given, as well as the measure of central angle AOB. Find the area of the segment of circle O bounded by AB and pAB . Give exact values whenever possible. Otherwise, round answers to the nearest hundredth.

Answer 1

}{360°}[/tex]

Explanation:

We use a rule of three:

Central angle Area

360°
`\pi r^(2)`

`\alpha` x

Where
`\alpha` =pAB and x is the circular area.

What we need is x, so we solve the rule of three:

`x= (\alpha \pi r^(2))/(360°)`

We use this formula to find the circular area of any central angle given when we have the angle and the radius.