# Geometry Formulas For Class 10

Formulas, theorems and properties are important in studying Geometry for class 10. If you are studying in class 10 and having trouble with Geometry formulas than you need to go through below listed formulas for scoring better marks in your board exam.

The formula chart for Geometry is to calculate area, base area, lateral area, surface area and perimeter for various Geometric shapes. You can also find the distance formula and equation of a circle formula.

 Geometry Shapes Formulas for Class 10 Name Formula Area of Triangle $Area = \frac{1}{2} base \cdot height$ Pythagorean Theorem $a^{2} + b^{2} = c^{2}$ Area of a Circle $Area = \pi r^{2}$ Circumference of a Circle $C = 2\pi r$ or $\pi d$ Area of a Parallelogram $Area = base \cdot height$ Area of a Trapezoid $Area =\frac{base_{1}+base_{2}}{2}\cdot height$ Area of a Kite or a Rhombus $Area = \frac{1}{2} diagonal_{1}\cdot diagonal_{2}$ Area of a Square $Area = side^{2}$ Area of a Regular Polygon $Area = \frac{1}{2}perimeter\cdot apothem$ Number of Diagonal in n-sided Polygon $Diagonals = \frac{n \left (n-3 \right )}{2}$ Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$ Midpoint Formula $\left ( x_{mp},y_{mp} \right )=\left ( \frac{x_{1}+x_{2}}{2} \right ),\left ( \frac{y_{1}+y_{2}}{2} \right )$ Distance Formula $d=\sqrt{\left ( x_{2}-x_{1} \right )^{2}+\left ( y_{2}-y_{1} \right )^{2}}$ Equation of a Circle $\left ( x-h \right )^{2}+\left ( y-k \right )^{2}=r^{2}$

#### Practise This Question

The co-ordinates of the points which divides the join of (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 is :