Find the area of a circle inscribed in a square of side 20 cm
Answers
Given:
A circle is inscribed in a square of each side 20 cm.
To Find:
The area of the inscribed circle.
Solution:
The given problem can be solved using the formulae of circles.
1. The side length of the square is 20 cm.
2. As the circle is inscribed in the square, the diameter of the square will be equal to the side length of the square,
=> Diameter of the circle = side length of the square,
=> Diameter of the circle = 20 cm.
=> Radius of the circle = (diameter)/2 = 20/2 = 10 cm.
=> Radius of the circle = 10 cm.
3. Area of a circle is given by the formula,
=> Area of a circle = πxr²,
4. Substitute the value of r to find the area,
=> Area of the circle = (22/7) x 10 x 10,
=> Area of the circle = (2200/7),
=> Area of the circle = 314.286 cm².
Therefore, the area of the given circle is 314.286 cm².