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Sonja [21]
3 years ago
6

A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

22.36 m

Step-by-step explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

Side  \: of \:  square  =  \sqrt{250}  \: m \\ diagonal \: of \: square  \\ = \sqrt{  {( \sqrt{250)} }^{2}  +  {( \sqrt{250)} }^{2}}   \\  =  \sqrt{250 + 250 } \\  =  \sqrt{500}  \: m \\  = 22.3606798 \: m \\  = 22.36 \: m \\  \therefore \: diameter \: of \: circle = 22.36 \: m

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