How to find the angle for a percentage of a circle

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ISEE Upper Level Quantitative Reasoning › How to find the angle for a percentage of a circle

Questions 1 - 2
1

Sector TYP occupies 43% of a circle. Find the degree measure of angle TYP.

Explanation

Sector TYP occupies 43% of a circle. Find the degree measure of angle TYP.

Use the following formula and solve for x:

Begin by dividing over the 100

Then multiply by 360

2

If sector AJL covers 45% of circle J, what is the measure of sector AJL's central angle?

Explanation

If sector AJL covers 45% of circle J, what is the measure of sector AJL's central angle?

To find an angle measure from a percentage, simply convert the percentage to a decimal and then multiply it by 360 degrees.

So, our answer is 162 degrees.

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