Question

The Hobby-Eberly Telescope in Fort Davis, Texas, is the largest optical telescope in North America. The primary mirror for the telescope consists of 91 smaller mirrors forming a regular hexagon shape. Each of the 91 smaller mirrors is itself a regular hexagon with a side length of 0.5 m. Which statement is false?

A.
The perimeter of each small mirror is 3 m.
B.
The apothem of each small mirror is approximately 43.3 cm.
C.
The area of each small mirror is approximately 1.299 m^2
D.
The radius of each small mirror is 0.5 m.

Answer 1

A ) P = 6 * 0.5 = 3 m ( correct )
B ) Apothem = 0.5 * √3 / 2 = 0.433 m = 43.3 cm ( correct )
C ) A = 6 * 0.5² √3 / 4 = 0.649519 m² ≠ 1.299 m² ( false )
D ) r = 0.5 m ( correct )
Answer: C ) is false