a circle inscribed in a square with an area of 81 square centimeters what is the area of the circle

Answer 1

If the area of the square is 81 cm², we can determine each side of the square to be 9 cm. Since the circle is inscribed in the square, the diameter of the circle is also 9. For the area of the circle, we need the radius length which is half the diameter. So the radius is 9/2 or 4.5 cm.

Use the area formula for a circle A = π ⋅ r²

A = π ⋅ (4.5)²

A = 20.25 π ≈ 63.62 cm²

Answer 2

The area of the square is 81cm squared, so that means each side of the square is 9cm.

Recall that the area of a square is length * width

And all 4 sides of a square are equal

9cm * 9cm = 81cm^2

9cm is the length of a side of the square and is also the length of the diameter.

To find the area of the circle you take half of the diameter, multiply it by pi and square it.

half of the diameter is also called the radius

so πr^2 is equal to the area of the circle

9/2=4.5

Remember π is roughly 3.142....

(4.5)²π = 63.62 cm²

So the area of the circle is 63.62 cm²