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#What-is-the-radius-of-a-circle-If-the-area-of-a-s
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What is the radius of a circle. If the area if a square is 625cm^2?

Apr 4

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Apr 4

To find the radius of a circle given the area of a square, we first need to find the side length of the square.

The area of a square is given by the formula A = s^2, where A is the area and s is the side length.

Given that the area of the square is 625 cm^2, we can find the side length by taking the square root of the area:

s = √625

s = 25 cm

Now that we have the side length of the square, we can use it to find the diameter of the circle, which is equal to the side length of the square:

d = 2s

d = 2(25)

d = 50 cm

Finally, the radius of the circle is half of the diameter:

r = d/2

r = 50/2

r = 25 cm

Therefore, the radius of the circle is 25 cm.

The area of a square is given by the formula A = s^2, where A is the area and s is the side length.

Given that the area of the square is 625 cm^2, we can find the side length by taking the square root of the area:

s = √625

s = 25 cm

Now that we have the side length of the square, we can use it to find the diameter of the circle, which is equal to the side length of the square:

d = 2s

d = 2(25)

d = 50 cm

Finally, the radius of the circle is half of the diameter:

r = d/2

r = 50/2

r = 25 cm

Therefore, the radius of the circle is 25 cm.