# ISEE Upper Level Quantitative : How to find the angle for a percentage of a circle

## Example Questions

### Example Question #1 : How To Find The Angle For A Percentage Of A Circle

What is the angle measure of  in the figure above if the sector comprises 37% of the circle?

˚

˚

˚

˚

˚

˚

Explanation:

It is very easy to compute the angle of a sector if we know what it is as a percentage of the total circle.  To do this, you merely need to multiply  by ˚.  This yields ˚.

### Example Question #2 : How To Find The Angle For A Percentage Of A Circle

What is the angle measure of  in the figure above if the sector comprises % of the circle?

˚

˚

˚

˚

˚

˚

Explanation:

It is very easy to compute the angle of a sector if we know what it is as a percentage of the total circle.  To do this, you merely need to multiply  by ˚.  This yields ˚.

### Example Question #3 : How To Find The Angle For A Percentage Of A Circle

What is the angle measure of  in the figure if the sector comprises  of the circle?

˚

˚

˚

˚

˚