a square of diagnol 8 cm is inscribed in a circle find shaded region
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Let ABCD be the square... Since it is a square , therefore let all its sides be x cm ........ Now in ∆ ABC----AC^2= x^2+x^2...... 8^2=2x^2...... 64/2= x^2....32=x^2= 4√2 . Area of square = (4√2)^2 = 16×2= 32 cm square ......Area of circle= 22/7×4×4=352/7..... Area of shaded region = Area of circle - Area of square ......... = 352/7-32= 352-224/7= 128/7 cm square.
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given that a square of diagonl is 8cm then let abcd= ∆ ABC----AC^2= x^2+x^2...... 8^2=2x^2...... 64/2= x^2....32=x^2= 4√2 . Area of square = (4√2)^2 = 16×2= 32 cm square ......Area of circle= 22/7×4×4=352/7..... Area of shaded region = Area of circle - Area of square ......... = 352/7-32= 352-224/7= 128/7 cm square.
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