Question

Prove that Area of Circle is πrsquare..

Answer 1

length of rectangle = half circumference of circle .
2
$2\pi \: r \div 2 = \pi \: r$
then breadth of the rectangle =r
Area of rectangle = length × breadth
$\pi \: r \times r = \pi \: {r}^{2}$
hence area of circle is
$\pi {r}^{2}$
sq.units