Question

Find the difference between the area of hexagonal plot each of whose side 72m and the area of the circular swimming pool inscribed in it (Take r = 22/7)

Answer 1

Solution :-

Given

hexagonal each side s = 72 meter

Formula Area of Hexagonal ,

A = 3 √3 (s^2)/2

A = 3 √ 3 (72^2)/2

A = 13468.43 square meter ****

Then,

Area of circular swimming pool

Circular Area = πr^2

r = 22/7 given

So

Circular Area = π (22/7)^2

Circular Area = 3.141 (22/7)^2

Circular Area = 31.031 square meter****

Now difference between area is

Area of Hexagonal - Area of circular swimming pool

Difference Area = 13468.43 - 31.031

Difference Area = 13437.39 square meter Ans.