A garden is in the shape of a regular hexagon, each side 20 m. If 5% of it is occupied by a circular fountain, find the remaining area.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 987.24 m2.
Area of regular hexagon = (3√3)/2 × Side2
= 600√3 m2
= (600 × 1.732) m2
= 1039.2 m2
Area occupied by fountain = 0.05 × 1039.2 = 51.96 m2
Remaining area = 1039.2 - 51.96 = 987.24 m2