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.

Question

Logan Wilkins

Mathematics

3 June, 23:33

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.

+2

Answers (1)

Know the Answer?

Katz · 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