Geometry Formulas For Class 10

Name

Formula

Area of Triangle

Area= ½ × base × height

Pythagorean Theorem

a² + b² = c²

Area of a Circle

Area = πr²

Circumference of a Circle

C = 2πr or πd

Area of a Parallelogram

Area = base × height

Area of a Trapezoid

Area = ½ × (base₁ + base₂) × height

Area of a Kite or a Rhombus

Area = ½ × (diagonal₁ × diagonal₂)

Area of a Square

Area = side²

Area of a Regular Polygon

Area = ½ × perimeter × apothem

Number of Diagonal in n-sided Polygon

Diagonals = ½ × n(n−3)

Slope

m = (y₂−y₁)/(x₂−x₁) = rise/run

Midpoint Formula

(x_mp, y_mp) = [(x₁+x₂)/2],[(y₁+y₂)/2]

Distance Formula

d = √[(x₂−x₁)²+(y₂−y₁)²]

Equation of a Circle

(x−h)²+(y−k)² = r²