Question

A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 42 inches has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded. How many square inches of cloth are cut from the square? (π = 3.14)

Answer 1

Area of the circle = 1385.4 in.²

Explanation:

Answer 2

`\huge\boxed{\sf Area\ of\ the\ circle = 1385.4\ in.\²}`

Explanation:

We have to find out the area of the square in order to find how many square inches were cut from the squared cloth.

Diameter = 42 in.

Radius = D / 2 = 42 / 2 = 21 in.

Area of circle = πr²

Where r = 21 in.

Area = (3.14)(21)²

Area = (3.14)(441)

Area of the circle = 1385.4 in.²

`\rule[225]{225}{2}`

Hope this helped!

~AH1807