- It's hump day of week 15.
Work hard to keep it in the road, folks. The end is in sight!
- Time again for something new! 3D coordinate systems....
- Materials:
- Equation of the cardiod: $r(\theta)=1-\cos(\theta)$
- Area of the cardiod: $A=\frac{1}{2}\int_{0}^{2\pi}(1-\cos(\theta))^2\ d\theta = \frac{3\pi}{2}\approx 4.71$
- Length of the cardiod: $L=\int_{0}^{2\pi}\sqrt{(1-\cos(\theta))^2+(\sin(\theta))^2}\ d\theta = 8$