Question

A circle Is cut from a square piece of cloth as shown How many square inches of cloth are cut from the square 1,061.32in22,122.64in22,704.00in23,622.31in2

Answer 1

Answer: 2,122.64in².

Step-by-step explanation

We want to know the measure of the circle in square inches, meaning that we have to calculate the area.

The area of a circle (A) is given by:

`A=\pi r^2`

where r represents the radius of the circle.

The diameter of the circle is a straight line that goes from one point of the circumference of a circle to an opposite point, passing through the center of the circle. The radius is half the diameter.

Based on the image, we can see that the circle is cut touching one point of each side of the square, meaning the diameter is what the side of the square measures:

Then, if the diameter is 52", then the radius is half that, 26".

Now, we can calculate the area:

`A=\pi\cdot26^2`
`A=3.14\cdot676`
`A=2122.64in^2`