- #1

- 19

- 0

## Homework Statement

This is another problem my teacher game me.

Given the Polar function r=6*sin(t/2) where the variable t is the angle theta in radians, and that t is between 0 and 2*Pi inclusive. Find the distance around the perimeter of the graph. Hint: this is arc length , round to the nearest integer.

## Homework Equations

I know to do this to calculate the arc length... it think integrate the equation from 0 to 2[tex]\pi[/tex]

## The Attempt at a Solution

integrate(6 sin(t/2) dt, 0, 2pi)

= -12 cos(t/2) ] 0, 2pi

= -12 cos(2pi/2) - (-12 cos(0/2))

= -12 cos(pi) - (-12 cos(0))

= -12 (-1) - (-12 (1)) = 24

I also used f-int in my calculator and got 24. Am I missing a step, what am I doing wrong?