SOLUTION: A circle is inscribed in a square with 10-inch sides. Find the area of the square not covered by the circle to the nearest tenth.

Algebra.Com
Question 582632: A circle is inscribed in a square with 10-inch sides. Find the area of the square not covered by the circle to the nearest tenth.
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
A circle is inscribed in a square with 10-inch sides. Find the area of the square not covered by the circle to the nearest tenth.


Area of the square MINUS the area of the circle.

The side of the square is 10 inches, which is also the diameter of the circle
The radius of the circle is one-half the diameter, so r = 5 inches

Area of square = side² = 10² = 100 square inches
Are of circle = pr² = 3.14×5² = 3.1416×25 = 78.54

Area of the square MINUS the area of the circle = 100 - 78.54 = 21.46 sq. in.

To the nearest tenth, 21.5 square inches

Edwin


RELATED QUESTIONS

at the center of a square with 3-inch sides. find the area of the square not covered by... (answered by Fombitz)
A circle of radius 10cm in inscribed in a square. What is the area of the square, not... (answered by Fombitz)
Find the area of one segment formed by a square with sides of 6" inscribed in a... (answered by robertb)
A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi,... (answered by Alan3354)
Find the ratio of the area of the smaller circle to the area of the larger circle.... (answered by Fombitz)
A regular hexagon with an area of 93.53 cm^2 is inscribed in a circle. Find the area not... (answered by fcabanski)
A circle is inscribed inside a square that has an area of 256 in squared. What is the... (answered by Stitch)
a circle has its center at the center of the square with12-inch sides. using 3.14 for pi, (answered by ewatrrr)
one circle is circumscribed around a square that has sides of length 2. Another circle is (answered by mananth)