Question

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.

Answer 1

Step-by-step explanation:

The area of the circular sheet with 4cm radius is,

A=πr

2

=16π

The area of the circular sheet with 3cm radius is,

A=πr

2

=9π

Since the circle with radius 3cm is removed, then the remaining area is,

A=16π−9π

=7π

=7×3.14

=21.98cm

2

Answer 2

Answer:

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 cm²

And,

Area of the circle with radius 3 cm which is cut out = π(3)² = 9π cm²

Thus, the remaining area = 16π – 9π = 7π cm²