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Find the area of the shaded region, round to two decimals​

Find the area of the shaded region, round to two decimals​-example-1
User Nwhaught
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1 Answer

3 votes

Answer:

A = 660.72 in^2 - A = 98 in^2 = 562.7 in^2

Explanation:

Formula for a seven sided polygon/heptagon is:

A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n

n n = 7 sides

side length a = 13.4841 in

inradius r = 14 in

circumradius R = 15.5388 in

area A = 660.72 in^2

perimeter P = 94.3886 in

interior angle x = 128.571 °

exterior angle y = 51.4286 °

To calculate the square from a diameter use this formula: q = √(2a^2) = a√2

side length a = 9.8994949366117 in

diagonal q = 14 in

perimeter P = 39.597979746447 in

area A = 98 in^2

User Rubin
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