A regular hexagonal mirror has a side of 18 cm. If 12% of the mirror area is covered by the frame, what is the visible glass area?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 740.7 cm2.
Area of regular hexagon = (3√3/2) × Side2
= (3√3/2) × 182
= (3√3/2) × 324
= 486√3 cm2
Frame covers 12%, so glass area = 0.88 × 486√3
= 427.68√3 cm2
≈ 427.68 × 1.732
≈ 740.7 cm2