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26 August, 07:54

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.

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Answers (1)
  1. 26 August, 08:51
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    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
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