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What is the proof of s = R(theta) [where s is length of an arc, R is radius, theta is angle made by the radii] ??

What is the proof of s = R(theta) [where s is length of an arc, R is radius, theta is angle made by the radii] ??

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
We know the circumference of a circle is => 2 * pi * R
thus,
C = 2pi * R
C/R = 2pi...................(1)
from eqn. it is revealed that 2pi is an angle thetha that is equal to 2pi.
thus it isvalid for all curcuference thus.
C/R = thetha
C = thetha * Radii.
 

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