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Which best describes how to find the length of an arc in a circle

Which best describes how to find the length of an arc in a circle-example-1
User Saraph
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2 Answers

5 votes

The answer is C. Apex ;)

User Franz Deschler
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1 vote
The answer is C: Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.

Explanation.
Let r = radius of the circle
Then the circumference is C = 2πr.

Let the degree measure of the arc be x degrees.
In radians, the angle is (x/180)π radians
The measure of the arc is
r*(x/180)π = (x/180)*πr
= (2x/360)*πr
= (x360)*2πr
= (x/360)*C

This proves the statement for the answer because
x/360 is the degree measure divided by 360,
C is the circumference.
User RTasche
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