Area of square inscribed in a circle is 98 cm^2 then area of circle is
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hiii!!!
here's Ur answer...
area of the square = 98cm²
therefore side × side = 98cm²
==> side² = 98cm²
==> side = √98cm
hence, the side of the square inscribed in the circle is √98cm.
diagonal of square = diameter of circle
==> diagonal² = side² + side²
==> diagonal² = (√98)² + (√98)²
==> diagonal² = 98 + 98
==> diagonal² = 196
==> diagonal = √196
==> diagonal = 14cm
the diagonal of the square is 14cm.
therefore diameter of the circle is also 14cm.
hence, radius of the circle = 14/2 = 7cm
now, area of the circle = πr²
= 22/7 × 7 × 7
= 22 × 7
= 154cm²
THE AREA OF THE CIRCLE IS 154cm²
hope this helps..!!
here's Ur answer...
area of the square = 98cm²
therefore side × side = 98cm²
==> side² = 98cm²
==> side = √98cm
hence, the side of the square inscribed in the circle is √98cm.
diagonal of square = diameter of circle
==> diagonal² = side² + side²
==> diagonal² = (√98)² + (√98)²
==> diagonal² = 98 + 98
==> diagonal² = 196
==> diagonal = √196
==> diagonal = 14cm
the diagonal of the square is 14cm.
therefore diameter of the circle is also 14cm.
hence, radius of the circle = 14/2 = 7cm
now, area of the circle = πr²
= 22/7 × 7 × 7
= 22 × 7
= 154cm²
THE AREA OF THE CIRCLE IS 154cm²
hope this helps..!!
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