Use the formula s = r theta to find the are length s:; r = 9 yd 28. theta = 3 pi

Question

Use the formula s = r theta to find the are length s:; r = 9 yd 28. theta = 3 pi/4; r = 6 cm 29. theta = pi; r = 2 ft 30. theta = 5 pi/3; r = 30 in Answer the following. 47. Find the perimeter of a sector of a circle with central angle pi/6 and radius 8 cm. 48. Find the perimeter of a sector of a circle with central angle 7pi/4 and radius 3 ft. To find the area of a sector of a circle, think of the sector as simply a fraction of the circle. If the central angle theta defining the sector is given in degrees, then

Explanation / Answer

Find the perimeter of a sector of a circle with central angle = 7 4 and radius 3 ft.
the perimeter of the sector is: two radii + arc of the sector.

= 2(3) + [7/4)/(2)]*(2 * 3)

= [ 6 + (21/4) ] ft 22.485ft

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