এখানে যে যে সূত্র ব্যাবহার হয়েছে:

1. \[ \text{Radius} = \frac{c^2}{8h_{\text{segment}}} + \frac{h_{\text{segment}}}{2} \] \[ \text{Segment Area:} \quad A_{\text{segment}} = \frac{1}{2}r^2(\theta - \sin\theta) \] \[ \text{Segment Height:} \quad h_{\text{segment}} = r - \sqrt{r^2 - \left(\frac{c}{2}\right)^2} \] \[ \text{Chord Length:} \quad c = 2r\sin\left(\frac{\theta}{2}\right) \] \[ \text{Arc Length:} \quad s = r\theta \] \[ \text{Sector Area:} \quad A_{\text{sector}} = \frac{1}{2} r^2 \theta \] \[ \text{Area:} \quad \frac{1}{2} r^2 \left(\theta - \sin\theta\right) = 0.5 r^2 \left(\theta - \sin\theta\right) \] \[ \text{Perimeter:} \quad r \left(\theta + 2 \sin\left(\frac{\theta}{2}\right)\right) \]\[ = r \left(\theta + 2 \sin\left(0.5 \theta\right)\right) \]
2. \[ \text{Area} = \left(\frac{2}{3}\right) \times H \times W \] Where: \[ H = \text{height of parabolic segment} \] \[ W = \text{length of parabolic segment} \] \[ \text{Area} = \text{area of parabolic segment} \]
3. \[ \text{Area} = \left(\frac{\pi}{4}\right) \times H \times W \] Where: \[ H = \text{height of half ellipse} \] \[ W = \text{length of half ellipse} \] \[ \text{Area} = \text{area of half ellipse} \]