The formula to find the length of a major arc | vedclass

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Question

(C) The length of a minor arc of a circle with radius $r$ and central angle $	heta$ (in degrees) is given by the formula $l_{minor} = \frac{	heta}{3

Vedclass · Accepted Answer

$l=2 \pi r - \frac{\pi r 	heta}{180}$

Vedclass · Answer

(C) The length of a minor arc of a circle with radius $r$ and central angle $	heta$ (in degrees) is given by the formula $l_{minor} = \frac{	heta}{360} 	imes 2 \pi r = \frac{\pi r 	heta}{180}$.Since the total circumference of the circle is $2 \pi r$,the length of the major arc is the total circumference minus the length of the minor arc.Therefore,the length of the major arc $l_{major} = 2 \pi r - \frac{\pi r 	heta}{180}$.

The formula to find the length of a major arc of a circle is ............

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