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8. Find the area of the square that can be inscribed in a circle of radius 8 cm. |
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Answer» -step explanation:Let ABCD be the square INSCRIBED by the circle.∴OA=OB=OC=ODABC is a right angled triangle, as OA=8,OB=8AB=8+8=16According to Pythagoras theorem,Square of hypotenuse = Sum of squares of other two sides.AC 2 =AB 2 +BC 2 As ABCD is a square all the sides are equal, AB=BCAC 2 =2AB 2 16 2 =2AB 2 ∴AB=8 2 therefore side of the square =8 2 Area of square =(8 2 ) 2 =128cm 2 |
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