# Thread: Area of Polar Curve

1. ## Area of Polar Curve

Find the area enclosed by the polar curve :

r = 5 e^(0.7θ)

on the interval 0 ≤ θ ≤ [1/8] and the straight line segment between its ends.

2. Originally Posted by Del
Find the area enclosed by the polar curve :

r = 5 e^(0.7θ)

on the interval 0 ≤ θ ≤ [1/8] and the straight line segment between its ends.
Does [1/8] mean one eighth of a radian? If so, then $A = \int_0^{1/8}\!\!\int_0^{5e^{0.7\theta}}\!\!\!\!\!\!r\,drd\th eta$. I get the answer to be about 1.7.

3. I think you are right, but I think I need the answer to 5 decimal places, if you would be so kind.

4. It's pretty straightforward. Opalg gave you a simplified result, so with 5 decimal places the answer is $1,70756.$