Question

Question 1
Is the area of the circle inscribed in a square of side a cm, $\pi a^{2}c{m}^2=?$ Given reasons for your answer.

Answer 1

Let ABCD be a square of side a cm.

$\therefore$ Diameter of the circle = Side of the square = a

$\therefore$ Radius of circle $=\frac{a}{2}$

$\therefore$ Area of circle $=\pi (Radius{)}^2=\pi \left(\frac{a}{2}\right)=\frac{\pi a^2}{4}$

Hence, area of the circle is $\frac{\pi a^2}{4}c{m}^2$.