From a circular sheet of radius 4 cm, a circle of radius 3 cm is cut out. Calculate the area of the remaining sheet after the smaller circle is removed.

Dear Student

The area of the remaining sheet after the smaller circle is removed will be = Area of the entire circle with radius 4 cm – Area of the circle with radius 3 cm

We know,

Area of circle = πr²

So,

Area of the entire circle = π(4)² = 16π cm^2

And,

Area of the circle with radius 3 cm which is cut out = π(3)² = 9π cm^2

Thus, the remaining area = 16π – 9π = 7π cm^2

Thanks