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21.

Area of a triangle

$A = \dfrac{1}{2} \begin{vmatrix} x_1 & y_1 & 1 \\[0.3em] x_2 & y_2 & 1 \\[0.3em] x_3 & y_3 & 1 \end{vmatrix}$

22.

Area of quadrilateral

$A=\dfrac{1}{2} \left[(x_1-x_2)(y_1+y_2)+(x_2-x_3)(y_2+y_3)+(x_3-x_4)(y_3+y_4)+(x_4-x_1)(y_4+y_1) \right]$

23.

Circle area

$A = r^2\pi$

24.

Circle area -verison 3

$ A = \dfrac{P \cdot r }{2}$

25.

Segment area - verison 1

$ S = \dfrac{1}{2} \left(s r - a(r-h)\right)^2$

26.

Segment area - verison 2

$ S = \dfrac{r^2}{2} \left(\dfrac{\alpha\pi}{180\degree} - \sin\alpha\right)$

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