All High School Math Resources
Example Question #1 : How To Find The Angle For A Percentage Of A Circle
A sector comprises 20% of a circle. What is the central angle of the sector?
Proporations can be used to solve for the central angle. Let equal the angle of the sector.
Solve for :
Example Question #2 : How To Find The Angle For A Percentage Of A Circle
Find the degree measure of .
Not enough information is given to answer this question.
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: