Question

Is the area of the circle inscribed in a square of side a cm, a2 cm2? Give reasons for your answer

Answer 1

No, Area of the circle inscribed in a square of side a cm is not a² cm².
Reason:
Given, side of a square = a cm
Now, circle is inscribed in a square. So,
Diameter of circle = side of square
Diameter of circle = a cm
Radius of circle (r)= a/2 cm
Thus,
Area of circle =${\mathrm{\pi r}}^2=\mathrm{\pi }\times {\left(\frac{\mathrm{a}}{2}\right)}^2=\frac{{\mathrm{\pi a}}^2}{4}{\mathrm{cm}}^2$