## How to find the area of a circle with a square drawn inside itIn the previous post we explored finding the area of a circle drawn inside a square. In this post we will find the area of a circle having a square drawn inside it. Consider there is a circle having a square drawn inside it and the side length of the square is given. Look at the diagram given below to understand the problem better. The area of the circle is unknown and we even don't know its radius. What we are given with is only the side length of the square inside the given circle.
We are given with the side length of the circle, the only piece of information to solve for area of the circle. We will go through the following steps to find the circle area: - Find the diagonal of the square from its sides by using the Pythagoras Theorem.
- The diagonal of the square drawn inside a circle is always equal to the diameter of the circle, hence equate the diagonal of the square to the diameter of the circle.
- Once we know the diameter of the circle, divide it by 2 to get the radius of the circle.
- Use the formula pi x radius x radius to find the area of the circle.
## So, let's follow all the above steps to to find the area of the given circle:Find the diagonal "d" of the square from its given side length "s" = 13 cm, using
Hence the area of the circle, with a square of side length equal to 13cm, is found to be 265.20 sq.cm. You can try the same kind of problems with the different side lengths of square drawn inside the circle. |

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