Question

3 of 14 7x Instructor-created question Find the length s of the arc of a circle of radius 14 meters subtended by the central angle 270°. Find the exact length as a fractional multiple of and the approximate length to three decimal places. Exact arc lengthmeters (Enter a simplified fraction) s (arc length) = 65.973 meters (Round to three decimal places.)

Answer 1

$s = r \theta$

	=	arc length (in radians)
	=	radius
$\theta$	=	central angle in radians

r=14

theta= 270 degree= 3 π/2

therefore

Arc lenght = (14*3* π)/2= 65.973 meters

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