### All High School Math Resources

## Example Questions

### Example Question #1 : Circles

A sector comprises 20% of a circle. What is the central angle of the sector?

**Possible Answers:**

**Correct answer:**

Explanation:

Proporations can be used to solve for the central angle. Let equal the angle of the sector.

Cross mulitply:

Solve for :

### Example Question #2 : Circles

; ;

Find the degree measure of .

**Possible Answers:**

Not enough information is given to answer this question.

**Correct answer:**

Explanation:

When two chords of a circle intersect, the measure of the angle they form is half the sum of the measures of the arcs they intercept. Therefore,

Since and form a linear pair, , and .

Substitute and into the first equation:

Andrew

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The University of Texas at Dallas, Bachelor of Science, Mechanical Engineering.

Bruce

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Western International University, Bachelors, Business. Golden Gate University-San Francisco, Current Grad Student, Taxation.