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

hope this image will help you understanding more easy

@Laylalyssa

Answer 2

@AZ opinion pls. ? ty

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
@AZ opinion pls. ? ty
\(\color{#0cbb34}{\text{End of Quote}}\)

Very nice image!

To calculate how much of the square cloth is cut to make the circle (the area that Jhonyy shaded in his drawing), we have to:

FIRST
Find the area of the square.
Remember area of a square = side * side
and our side length is 42

SECOND
Find the area of the circle
The area of a circle = \(\pi r^2\)
Remember, the diameter of our circle is 42. To calculate the radius, divide the diameter by 2.

And then finally, to find the shaded portion on the drawing
You just subtract the area of a circle from the area of a square:
Area of a square - Area of a circle