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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 #1 : Sectors
; ;
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:
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