Question

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 48 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

$\underline{\mathfrak{\huge{Question:}}}$

A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 48 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)

$\underline{\mathfrak{\huge{Answer:}}}$

Area of the cloth cut from the square = Area of the Circle = $\pi r^{2}$

The radius of the circle will be = $\tt{\frac{Side\:of\:the\:square}{2}}$

=》 Radius = $\frac{48}{2}$ inches

=》 Radius = 24 inches

The Area of the Circle = $\pi (24)^{2}$ square inches

=》 3.14 × 24 × 24 square inches

=》 $\boxed{\tt{1808.64\:inches^{2}}}$

Answer 2

A square, one side labeled as 48 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)

Step by step explanation :

We know that,

If a square has circle inside such that the circle touches all sides of the square, then diameter of the circle = length side of the circle.

So,

Diameter = 48 inches

Thus, Radius = 48/2

= 24 inches

Now, Let's find the area of circle.

We know that,

$\tt{Area \: of \: circle = \pi \: r{}^{2}}$

$\tt {= 3.14 \times 24 \times 24}$

$\tt {= 1808.64}$

Thus,  

1808.64 inches of cloth are cut from the square.