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timurjin [86]
1 year ago
15

the length of an arc of a circle is 269⁢πcentimeters and the measure of the corresponding central angle is 65∘. what is the leng

th of the circle's radius?
Mathematics
1 answer:
scZoUnD [109]1 year ago
6 0

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

                                                  =  269⁢π /(13π/36)

                                                  = 744.92 cm

Learn more about arc length of a circle at brainly.com/question/28108430

#SPJ4

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