Question

from a circular sheet of a radius 5cm, a circle of radius 3cm is removed. find the area of the remaining sheet

Answer 1

Check the picture below.

`\textit{area of a circular ring}\\\\ A=\pi (R^2 - r^2) ~~ \begin{cases} R=\stackrel{outer}{radius}\\ r=\stackrel{inner}{radius}\\[-0.5em] \hrulefill\\ R=5\\ r=3 \end{cases}\implies A=\pi (5^2-3^2)\implies A\approx 50.27~cm^2`

Answer 2

Area of remaining sheet = 50. 28cm²