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If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius:

→ area_square = (2 × 5 in)² = 10² sq in = 100 sq in

If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated:

→ diagonal = 2 × 5 in = 10 in

→ side² + side² = diagonal²

→ 2 × side² = diagonal²

→ side² = diagonal² / 2

→ side = diagonal / √2

→ side = 10 in / √2

→ area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.

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If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle - which in turn is twice the radius.

Q: What is the area of a square with a circle of a radius of 5 inches?

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Area of a circle: pi*radius squared

Area of a circle = (pi) x (radius)2 Radius = 1/2 the diameter = 5 inches Area = (pi) x (5)2 = 25 pi = 78.54 square inches (rounded)

The radius of the circle is 21 inches. The area of the circle is (pi) times (radius squared) = pi times 441 = 1,385.44+ square inches. 1 square foot = 144 square inches. The area of the circle is (1385.44+ square inches) divided by 144 = 9.621 square feet (rounded to 3 decimal places).

First we have to find the radius: 2*pi*radius = 18*pi Divide both sides by 2*pi to find the radius: radius = 9 inches Area of a circle = pi*radius2 Area = pi*92 = 81pi or 254.4690049 square inches

If the circle has a diameter of 8 inches, it's 50.265 square inches. If the circle has a radius of 8 inches, it's 201.06193 square inches. In the odd case that the circle has a circumference of 8 inches, it's 5.09296 square inches.

Related questions

The radius of a circle with an area of 35 square inches is 3.34 inches.

The radius of a circle with an area of 706.50 square inches is: 15 inches.

A circle with a radius of 26 inches has an area of: 2,124 square inches.

A circle with a radius of 32 inches has an area of 3,216.99 square inches.

The area of a circle if the radius is 2.5 inches is: 19.63 square inches.

A circle with a radius of 18 inches has an area of 1,017.88 square inches.

A circle with a radius of 11 inches has an area of 380.13 square inches.

A circle with a radius of 3 inches has an area of 28.27 square inches.

A circle with a radius of 6.6 inches has an area of 136.85 square inches.

A circle with a radius of 5.1 inches has an area of 81.71 square inches.

Radius = 3.57 inches.

Area of circle is pi*radius*radius. hence area of 1.5 inch circle is 7.065 square inches.