Question 1201695: Hi
A square of area 70cm^2 is inscribed inside a circle . What is the area of the circle
Thank you Found 2 solutions by ikleyn, math_tutor2020:Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website! .
A square of area 70cm^2 is inscribed inside a circle . What is the area of the circle
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If the area of a square is 70 cm^2, then its side "a" is a = cm.
Then the radius of the circle is r = = = = .
Then the area of the circle is
area = = = = = 109.9 cm^2 (approximately). ANSWER
For each right triangle, the hypotenuse is the diameter of the circle.
r = radius
2r = diameter = hypotenuse
Use the pythagorean theorem to find that
Or you could use the 45-45-90 triangle template to connect the leg length to the hypotenuse.
Then it leads to
The area of the circle is then...
The exact area of the circle is 35pi square cm.
If you use the approximation pi = 3.14, then the approximate area of the circle would be 35*pi = 35*3.14 = 109.9 square cm.