In a village, there is a pond that has the radius 14m. there is a fountain of diameter 14 m in the centre of the pond. Calculate the area of the pond excluding the fountain (Use $$\pi= \frac{22}{7}$$​)

Correct option is A

Given:

Diameter of fountain =14m

Radius of pond =14m

Formula Used:

Area of ring in concentric circle =$$\pi \times (r_1^2 - r_2^2)$$​​

Solution:

Radius of pond = $$r_{1} =14m$$​​

Radius of fountain =  $$r_{2} = \frac{14}{2} = 7m$$​​

Area of pond excluding fountain =$$\pi \times (14^2 - 7^2)$$​​

​$$= \frac{22}{7} \times ((196 -49)$$​​

​$$= 462 m^{2}$$​​