Area of a nonagon with a circumradius of 2 units is 11.57 square units.
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The regular nonagon will have 9 isosceles triangles each with 2 equal sides of 58.476088 and an apex angle of 40 degrees. Area: 0.5*58.476088^2 *sin(40)*9 = 9891 square cm rounded to the nearest whole number
The sum of the interior angles of a nonagon is (9 - 2) x 180o = 7 x 180o = 1260o In a regular nonagon, each interior angle is 1260o ÷ 9 = 140o
Area = (pi) x (Radius)2 (Radius)2 = Area/pi Radius = sqrt(Area/pi) Diameter = 2 x radius = 2 x sqrt(Area/pi)
The regular nonagon will have 9 congruent isosceles triangles each with two equal sides of 13.1571198cm and two equal angles of 70 degrees with a base of 9cm opposite apex angle of 40 degrees. Area of triangle: 0.5*13.1571198^2 *sin(40)*9 = 500.7277596 square cm
Area of a regular polygon = 1/2(apothem)(perimeter) 2025 = 1/2(25)(perimeter), so the perimeter = 2025 divided by 25/2. Perimeter = 162 Side length = 162/9 Side length = 18