Q1 of 64 Page 74

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

radius 14 cm and sector angle 45°

Given:


radius (r) = 14 cm


central angle 45°


Arc length = ?, area of sector = ? and perimeter of sector = ?


As we know,


(a) Length of arc =




⇒ Length of arc = 11cm


(b) Area of sector =




⇒ area of sector = 77cm2


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


= 2 ( r) + length of arc


= 2(14) + 11


= 28 + 11 = 39cm


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