The area of the square that can be inscribed in a circle of radius 8 cm is
(A) 256 cm ^{ 2 }
(B) 128 cm ^{ 2 }
(C) 64 2 cm ^{ 2 }
(D) 64 cm ^{ 2 }
Last updated at Aug. 19, 2021 by Teachoo
Transcript
Question 10 The area of the square that can be inscribed in a circle of radius 8 cm is (A) 256 cm2 (B) 128 cm2 (C) 64 2 cm2 (D) 64 cm2 Now, Diagonal of square = Diameter of circle = 16 cm Let side of square = a cm So, Diagonal2 = Side2 + Side2 162 = a2 + a2 256 = 2a2 2a2 = 256 a2 = 256/2 a2 = 128 Now, Area of square = a2 = 128 cm2 So, the correct answer is (B)
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