Question

A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 52 inches has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaed 52 inches How many square inches of cloth are cut from the square?

Answer 1

the question does not present the picture, but this does not interfere with the resolution

we know that

if a square has a circle inside and the circle touches all the sides of the square

then

the diameter of the circle is equal to the length side of the square

So

$Diameter=52 in$

Find the radius of the circle

$r=D/2\\ \\ r=52/2\\ \\ r=26in$

Find the area of the circle

Area of the circle is equal to

$A=\pi *r^{2}$

$A=\pi *26^{2}$

$A= 2,122.64 in^{2}$

therefore

the answer is

From the square are cut $2,122.64$ square inches of cloth

Answer 2

The square has equal sides measuring 52 inches, since the circle inside the square touched the side of the square, that makes the diameter of the circle to have an exact size with the side of the square which is 52 inches. To find out the area or square inches of cloth that was cut from the square, is to find out the area of the circle itself. Using the formula in getting the area of a circle, which is pi multiplied by the radius squared. Represent pi with 3.14 rounded up to the tenths place and multiply it with the radius that would be the half of the diameter of the circle which is 52, you'll get 26 and multiply 26 by 26, you'll have the answer of 2,122.64 square inches.