Find the area of a regular n-gon if n = 4, R = 3√2 cm.
| February 18, 2021 | education
A regular n gon with 4 sides is called a square.
If R is known to describe the circle, then according to the formula we get the side of the square:
a = R / (√2 / 2) = 2R / √r2
a = 2 * 3√2 / √2 = 2 * 3 = 6cm
S = a2 = 6 * 6 = 36cm2
So the area of this polygon will be equal to 36 cm2
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