Math, asked by rviacastro7712, 1 year ago

Area of square inscribed in a circle is 98 cm^2 then area of circle is

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Answered by Anonymous
1
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..!!
Answered by Anonymous
0
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