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What else can I help you with?
How do you find the radius of a circle inside a square?
The same as half the side of the square, as the radius of the circle is half its diameter, and the diameter of the circle is equal to the side of the square.
Why is the area of a circle bigger than a square with the same perimeter?
It is not. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
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?
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
Is the area of a circle bigger than the area of a square?
It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
What is the ratio of the area of a square to the area of a circle when the length of one side of the square is the radius of the circle?
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.)
What is the ratio if the area of a circle to the area of a square when one side of the square is the radius of the circle?
1/3.15159
What is the largest radius that can fit a circle into a square?
Half the length of a side of the square.
Why does a circle has a radius but a square does not?
A circle has a radius because each radius is the same. A square does not because if it did, not every radius would be the same. Since a square is a regular polygon, it has an apothem, which goes from the center to the middle of a side, so it doesn't need a radius.
What is the area of a square with a circle of a radius of 5 inches?
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.
How do you find the area of a circle in a square?
To find the area of a circle inscribed in a square, you can use the formula for the area of a circle (πr^2) and the properties of a square (all sides equal). Since the diameter of the circle is equal to a side of the square, you can find the radius of the circle by halving the side length of the square. Then, plug the radius value into the area of a circle formula to find the area.
What is the ratio between side of a square and radius of circle whose areas are same?
Finding a circle with the same area as a square is known as squaring the circle. It has been proven to be impossible. (this was done in 1882) I have included some references as links to explain why this cannot be done. If you have a circle inscribed a square, then its radius is 1/2 of the side length of the square or its diameter is the length of a side. If this is what you mean then the ratio of the side of the square to the radius of the circle is 1 to 1/2 or 2 to 1.
How do you find area of a circle in a square?
Area of a circle = pi*radius2 The radius of the circle will be 1/2 the size of the length of a side of the square.
