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)
1,052.00 in2
1,133.54 in2
1,444.00 in2
1,584.34 in2
To find the area of the cloth cut from the square, we need to subtract the area of the circle from the area of the square.
The area of the square is given by: 38 inches x 38 inches = 1444 square inches.
The formula for the area of a circle is: π x r^2, where r is the radius of the circle.
In this case, the radius of the circle is half of the side of the square, which is 38/2 = 19 inches.
Substituting into the formula, the area of the circle is: 3.14 x 19^2 = 3.14 x 361 = 1135.54 square inches.
Finally, to find the area of the cloth cut from the square, we subtract the area of the circle from the area of the square: 1444 - 1135.54 = 308.46 square inches.
Therefore, the correct answer is 308.46 in2.
1,052.00 in2
1,133.54 in2
1,444.00 in2
1,584.34 in2
answers icon
1 answer
pick one