Question

The area of the polygon is 27 mi2. What is the formula that shows the length of side a?

Answer 1

Answer:

a.a.3=27

Step-by-step explanation:

i got my answer wrong to see it

Answer 2

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