find the perimeter of quadrant having area 154cmsquare.
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Answer: Perimeter = 50 cm
Steps:
Area of a quadrant of a circle = pi r² /4 , where r is the radius of the circle formed by the given quadrant.
Pi r² / 4 = 154 cm²
=> r² = ( 154 * 4 ) * (7/22 )
=> r² = 28 * 7
=> r² = 4 * 7 * 7
=> r = 2 * 7 = 14
Perimeter of quadrant = 2r + 2pi r /4
= 28 + (2*22* 2)/4
= 28 + 22 = 50 cm
Perimeter = 50 cm
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