Question

The measure of central angle ABC is radians.

What is the area of the shaded sector?

6
9
18
36

Answer 1

Its 9 units

Explanation:

got 100% on test

Answer 2

`9\pi\ units^(2)`

Explanation:

we know that

The measure of central angle ABC is
`(\pi)/(2)` radians

so

`(\pi)/(2)=90\°`

`360\°` subtends the complete circle

The area of the shaded sector is the area of a quarter circle

so

The area of a quarter circle is equal to

`A=(1)/(4)\pi r^(2)`

we have

`r=6\ units`

substitute

`A=(1)/(4)\pi (6)^(2)=9\pi\ units^(2)`