Q1 of 64 Page 74

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

radius 15 cm and sector angle 63°

Given:


radius (r) = 15 cm


central angle 63°


Arc length = ?


area of sector = ?


perimeter of sector = ?


As we know,


(a) Length of arc =




⇒ Length of arc = 16.5cm


(b) Area of sector =




⇒ area of sector = 123.75cm2


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


= 2 ( r) + length of arc


= 2(15) + 16.5


= 30 + 16.5 = 46.5cm


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