Answer:
n = 5
Step-by-step explanation:
Answer: and agenda:
n = 5
a = 3.96148 m
r = 2.72625 m
R = 3.36984 m
A = 27 m^2
P = 19.8074 m
x = 108 °
y = 72 °
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where as r = inradius (apothem)
R = circumradius
a = side length
n = number of sides
x = interior angle
y = exterior angle
A = area
P = perimeter
π = pi = 3.14159...
√ = square root
Side Length a
a = 2r tan(π/n) = 2R sin(π/n)
Inradius r
r = (1/2)a cot(π/n) = R cos(π/n)
Circumradius R
R = (1/2) a csc(π/n) = r sec(π/n)
Area A
A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n)
Perimeter P
P = na
Interior Angle x
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
Exterior Angle y
y = (2π / n) radians = (360° / n) degrees
polygon interior and exterior angles
