Question

A circle is cut from a square piece of cloth, as shown: a square, one side labeled as 38 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

the diameter of the circle = 38 inches
therefore, the radius = 38/2 = 19 inches

Therefore, the area of cloth cut is = area of the circle
                                                         = pie r^2
                                                         = 3.14 * 19 *19
                                                         = 1133.54 inches^2

Answer 2

$The \ area \ of \ the \ cloth \ cut = 1133.54 \ inches^{2}$

Given:

Square of a sides had a 38 inch circle inscribed in it.

To find:

The area of the circle which we can cut from the square.

Answer:

Given that

Circle diameter is, = 38 inches

$\therefore  Radius = \frac {d} {2}$

$= \frac {38} {2} = 19 inches$

\therefore Area of the cloth cut = Total area of the circle

$= \pi \times r^{2}$

$= 3.14 \times 19 \times 19$

$= 1133.54 inches ^{2}$

$The \ area \ of \ the \ cloth \ cut = 1133.54 \ inches^{2}$