Ask Question
30 May, 21:50

Select the correct answer. The area of a polygon of n sides inscribed in a circle of radius r is. If r = 12, what is the limit of A as n approaches infinity? A. 452.39 B. 658.02 C. 37.70 D. 226.19

+1
Answers (1)
  1. 30 May, 22:59
    0
    The correct option is;

    A. 452.39

    Step-by-step explanation:

    Here we are required to find the area of a polygon which is inscribed in a circle.

    The radius, r of the circle = 12

    The number of sides of the polygon = n

    The area is required as n approaches infinity

    We note that as the number of sides of the polygon increases, the perimeter of the polygon increasingly approximates the perimeter of the circle.

    Therefore, as the number of sides approaches infinity, the area of the polygon is approximately the area of the circle.

    The area of the circle is therefore found as follows;

    The area of a circle = π·r² = π * 12² = 452.39 unit²

    Therefore, as n → ∞, the area of the polygon = 452.39.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Select the correct answer. The area of a polygon of n sides inscribed in a circle of radius r is. If r = 12, what is the limit of A as n ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers