abcd is a square .A circular arc cuts this at two points P and Q,area A1 ,A2 and A3 are same.find are of the square .arc radius is 13 units?
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117 sq units is the area of Square
Step-by-step explanation:
Side of Sqaure = a
DP = QB = c
x² + a² = 13²
A1 + A2 + A3 = a²
A1 = (1/2)ax
3ax/2 = a²
=> x = 2a/3
(2a/3)² + a² = 13²
=> 4a² + 9a² = 9 * 13²
=> 13a² = 9 * 13²
=> a² = 117
117 sq units is the area of Square
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