Q1 of 64 Page 74

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

radius 4.9 cm and central angle 30°

Given:


radius (r) = 4.9 cm


central angle 30°


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


As we know,


(a) Length of arc =




⇒ Length of arc = 2.57cm


(b) Area of sector =




⇒ area of sector = 6.3cm2


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


= 2 ( r) + length of arc


= 2(4.9) + 2.57


= 9.8 + 2.57 = 12.37cm


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