Q1 of 64 Page 74

Find the arc length, area and perimeter of the sector with

radius 21 dm and sector angle 240°

Given:


radius (r) = 21 dm


central angle 240°


Arc length = ?


area of sector = ?


perimeter of sector = ?


As we know,


(a) Length of arc =




⇒ Length of arc = 88dm


(b) Area of sector =




⇒ area of sector = 924 dm2


(c) perimeter of sector = r + r + length of arc


= 2 ( r) + length of arc


= 2(21) + 88


= 42 + 88 = 130dm


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The arc length of a sector of a circle of radius 14 cm is 22 cm. Find its central angle.