A circle has same area as that of the square of diagonal of length 11.0 cm. What is the diameter of the circle?
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diagonal of a square =a√2
where a is the side of a square
Step-by-step explanation:
11=a√2
11/√2=a
area of the square=a×a
=11/√2×11/√2
=121/2
now, the area of the square =the area of the circle
area of the circle =121/2
pi×r×r=121/2
r×r=121/2 ×7/22 ( taking value of pi =22/7 )
r=11/2√7/11
diameter =2×r
=2×11/2√7/11
=11√7/11 .... ans
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