A regular decagon has sides measuring 38 inches. What is its area? (Hint: The measure of an angle of a regular n-gon is equal to 180(n - 2) divided by the number of sides, n.) Round to one decimal place.
A) 11110.4 square inches
B) 3795.8 square inches
C) 4968.7 square inches
D) 11682.2 square inches

Question

Quizplus · Accepted Answer

The measure of an angle of a regular decagon is equal to 180(10 - 2) / 10 = 144 degrees. The area of a regular decagon is equal to (1/4) * 10 * 38^2 * tan(72) = 11110.4 square inches.

A Regular Decagon Has Sides Measuring 38 Inches