Question

Please show your work

Answer 1

n is number of sides of polygon

#b

put n=60

• 60sin(360/2(60))
• 60sin(360/120)
• 60sin(3)
• 3.14016

π=3.14159

Difference

• 3.14159-3.14016
• 0.00143

Answer 2

Answer:

Given expression:

$n \times \sin\left(\dfrac{360}{2n}\right)$

a)  The $n$ stands for the number of sides of a regular polygon.

b)  If $n=60$

$\implies 60 \times \sin\left(\dfrac{360}{2(60)}\right)=60 \sin(3)=3.140157375...$

Therefore, the difference between the perimeter and π is:

$\implies \pi - 60 \sin(3)=0.001435279013...$