9.
(05.04 LC)
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) 150.72 in2
192.00 in2
1,152.00 in2
1,808.64 in2
To calculate the area of the cloth cut from the square, we first need to find the area of the circle inside the square.
The radius of the circle is half the length of the side of the square, which is 48/2 = 24 inches.
The formula for calculating the area of a circle is πr^2, where r is the radius of the circle.
So, the area of the circle = 3.14 * (24)^2 = 3.14 * 576 = 1,814.4 square inches.
Now, to calculate the area of the cloth cut from the square, we subtract the area of the circle from the area of the square.
Area of the square = 48 * 48 = 2,304 square inches.
Area of cloth cut from the square = 2,304 - 1,814.4 = 489.6 square inches.
Therefore, the correct answer is not listed among the options given. The correct area of cloth cut from the square is 489.6 square inches.
150.72 in2
192.00 in2
1,152.00 in2
1,808.64 in2
To calculate the area of the cloth cut from the square, we first need to find the area of the circle inside the square.
The radius of the circle is half the length of the side of the square, which is 48/2 = 24 inches.
The formula for calculating the area of a circle is πr^2, where r is the radius of the circle.
So, the area of the circle = 3.14 * (24)^2 = 3.14 * 576 = 1,808.64 square inches.
Now, to calculate the area of the cloth cut from the square, we subtract the area of the circle from the area of the square.
Area of the square = 48 * 48 = 2,304 square inches.
Area of cloth cut from the square = 2,304 - 1,808.64 = 495.36 square inches.
Therefore, none of the provided options are correct. The correct area of cloth cut from the square is 495.36 square inches.