A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 34 inches, has a circle inside it. The cir
cle 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) 907.46 in2 986.32 in2 1,024.00 in2 1,156.00 in2
Please look at the picture that you mentioned in the question but decided not to let us see.
The circle is inside the square, and touches all sides of the square. You'll notice that the diameter of the circle is the same length as each side of the square, and the radius is 1/2 as long as a side.
Area of a circle = π R²
The radius of this circle is 17 inches . . . 1/2 the side of the square.
Area of the circle = π (17²) = 907.46 in² .
That's the area of the circle.
The other 258.5 in² of cloth is discarded after it's trimmed away.
