What will be the area of the ring-shaped region enclosed between two concentric circles of radii 14 cm and 7 cm?

Correct option is C

Given:

Radius of the outer circle R = 14 cm

Radius of the inner circle r = 7 cm

Formula Used:

Area of a circle = $$\pi r^2$$​​

Area of the ring-shaped region = Area of the outer circle - Area of the inner circle

Area of the ring = $$\pi R^2 - \pi r^2$$​

Solution:

Area of outer circle = $$\pi \times (14)^2 = \pi \times 196 = 196\pi \, \text{cm}^2$$​

Area of inner circle = $$\pi \times (7)^2 = \pi \times 49 = 49\pi \, \text{cm}^2$$​

Area of the ring = $$196\pi - 49\pi = 147\pi \, \text{cm}^2$$​

Area of the ring =$$147 \times \frac{22}7 = 462\, \text{cm}^2$$​

The area of the ring-shaped region is 462 cm².