The approximate area of the regular decagon rounded to the nearest tenth is 547.3 inches²
What is a regular decagon?
Regular decagons are polygon with 10 sides and are equiangular. The sides' lengths are equal. Therefore,
length = 9.3 unit
radius = 15 units
Area of the decagon = 1 / 2 ap
where
a = apothem
p = perimeter
Therefore, using Pythagoras theorem lets find apothem
a² + 9.3² = 15²
a² = 225 - 86.49
a = √138.51
a = 11.7690271476
a = 11.80
Therefore,
p = 10 × 9.3 = 93 units
Area of the decagon = 1 / 2 × 11.76 × 93
Area of the decagon = 1094.517 / 2
Area of the decagon = 547.2585 inches²
Area of the decagon = 547.3 inches²
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