Question

HELP PLEASE ASAP!!! Khan Academy unit test! 20 points for Brainliest!

Answer 1

Answer: $Area\ sector=7.48\ units^2$

Step-by-step explanation:

For this exercise you need to use the following formula for calculate the area of the sector of a  circle:

$Area\ sector=\frac{1}{2}r^2\theta$

Where $r$ is the radius of the circle and $\theta$ is the central angle measured in radians.

In this case, you can identify that:

$r=3\ units\\\\\theta=\frac{9}{17}\pi$

Then, you must substitute theses values into the formula and then you must evaluate, in order to calculate the area of the sector of the circle.

This is:

$Area\ sector=(\frac{1}{2})(3\ units)^2(\frac{9}{17}\pi)\\\\Area\ sector=7.48\ units^2$