Q3 of 64 Page 74

Find the area and perimeter of the sector with

radius 12 cm and arc length 15.25 cm.

Given:

radius (r) = 12 cm


Arc length (a) = 15.25cm


area of sector = ?


perimeter of sector = ?


As we know,


(a) Area of sector =



⇒ area of sector = 91.5 cm2


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


= 2 ( r) + length of arc


= 2(12) + 15.25


= 24 + 15.25 = 39.25cm


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