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Let's call the number 'K' ... the side of the square and the radius of the circle.

-- the area of the square is [ K2 ]

-- the area of the circle is [ (pi) K2 ]

-- The ratio of the circle to the square is [(pi) K2 / K2 ] = pi

Q: What is the ratio of the area of a circle to the area of a square when one side of the square is the radius of the circle?

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Given: a square with side = s and a circle with radius = s (radius is equal to the length of the side of the square) Areasquare = side squared = s2 Areacircle = pi times the square of the radius = pi times s2 Areasquare : areacircle = s2 : pi s2 = 1 : pi (The ratio is one to pi.)

If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)

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 17 Square meters is 2.33 meters.

If the area of a circle is 1519.76 square meters, the radius is 21.994422761843005 meters.

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1/3.15159

There is no direct ratio. The area is related to the square of the radius by the factor "pi." A = (pi) r2 (Pi is about 3.1416)

By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.

Given: a square with side = s and a circle with radius = s (radius is equal to the length of the side of the square) Areasquare = side squared = s2 Areacircle = pi times the square of the radius = pi times s2 Areasquare : areacircle = s2 : pi s2 = 1 : pi (The ratio is one to pi.)

In a circle, the area of the circle is pi times the radius squared

When you try to figure out an area of a circle, you square the radius, then multiply it by pi to get the area of a circle. A radius square is radius x radius, or radius squared.

It depends on the ratio of what of the circle? Its circumference, diameter, area?

If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)

Half the square root of the square radius equals the circle radius.

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 17 Square meters is 2.33 meters.

If the area of a circle is 1519.76 square meters, the radius is 21.994422761843005 meters.