Q16 of 55 Page 1

Area of a sector of a circle of radius 14 m is 154 cm2. Find the length of the corresponding arc of the sector. [Use π = 22/7]

Given: Radius of the circle = r = 14 cm


Area of a sector = 154 cm2


Now, area of sector in terms of arc length = 1/2 (arc length × radius)


154 = 1/2 (l × 14)


Therefore, l = (154 × 2)/14


= 154/7


= 22


Therefore, Corresponding arc length of the sector = 22 cm


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