Answer:
[tex]19.625\text{ cm}^2[/tex]
Step-by-step explanation:
GIVEN: A square with base [tex]5\text{ cm}[/tex], a circle that perfectly fits inside square.
TO FIND: Approximate area of circle.
SOLUTION:
Consider the figure attached.
let the radius of circle be [tex]x\text{ cm}[/tex]
radius of circle [tex]=\frac{\text{length of base of square}}{2}[/tex]
[tex]x=\frac{5}{2}\text{ cm}[/tex]
[tex]x=2.5\text{ cm}[/tex]
Area of circle [tex]=\pi(radius)^2[/tex]
[tex]=3.14\times(2.5)^2[/tex]
[tex]=19.625\text{ cm}^2[/tex]
Hence the area of circle that perfectly fits inside the square is [tex]19.625\text{ cm}^2[/tex]
