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Formulas

Geometry

Showing formulas of Geometry

Mathematics
Subject
Showing 17 of 17 formulas Page 1 of 1

Pythagorean Theorem

Math → Geometry → Triangles → Right Triangles
$$a^2 + b^2 = c^2$$
Relates the three sides of a right triangle.
📖 Math 📚 Triangles

Area of a Circle

Math → Geometry → 2D Shapes → Circles
$$A = \pi r^2$$
Total space enclosed within a circle.
📖 Math 📚 2D Shapes

Area of Circle

Mathematics → Geometry → Circle → Area
$$A = \pi r^2$$
Area formula
📖 Mathematics 📚 Circle

Volume of Sphere

Mathematics → Geometry → 3d Shapes → Volume
$$V = \frac{4}{3}\pi r^3$$
Volume formula
📖 Mathematics 📚 3d Shapes

Volume of a Sphere

Math → Geometry → 3d Shapes → Volume
$$V = \frac{4}{3}\pi r^3$$
The amount of space occupied by a sphere.
📖 Math 📚 3d Shapes

Surface Area of a Cylinder

Math → Geometry → 3d Shapes → Surface Area
$$A = 2\pi rh + 2\pi r^2$$
Total area including the lateral surface and the two circular bases.
📖 Math 📚 3d Shapes

Distance Formula (3D)

Math → Geometry → Coordinate Geometry → 3D Space
$$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$$
Calculates the straight-line distance between two points in three-dimensional space.
📖 Math 📚 Coordinate Geometry

Area of a Trapezoid

Math → Geometry → 2D Shapes → Quadrilaterals
$$A = \frac{1}{2}(a+b)h$$
Calculates the area of a quadrilateral with at least one pair of parallel sides.
📖 Math 📚 2D Shapes

Surface Area of a Sphere

Math → Geometry → 3d Shapes → Surface Area
$$A = 4\pi r^2$$
The total area of the exterior of a sphere.
📖 Math 📚 3d Shapes

Volume of a Cone

Math → Geometry → 3d Shapes → Volume
$$V = \frac{1}{3} \pi r^2 h$$
Amount of space occupied by a right circular cone.
📖 Math 📚 3d Shapes

Area of a Sector

Math → Geometry → Circles → Sectors
$$A = \frac{1}{2} r^2 \theta$$
Calculates the area of a 'pizza slice' part of a circle.
📖 Math 📚 Circles

Volume of a Rectangular Prism

Math → Geometry → 3d Shapes → Volume
$$V = lwh$$
The amount of space inside a rectangular box.
📖 Math 📚 3d Shapes

Volume of a Cylinder

Math → Geometry → 3d Shapes → Volume
$$V = \pi r^2 h$$
Capacity of a solid with two parallel circular bases.
📖 Math 📚 3d Shapes

Area of a Triangle (Heron's Formula)

Math → Geometry → Triangles → Area
$$A = \sqrt{s(s-a)(s-b)(s-c)}$$
Calculates the area of a triangle when only the lengths of the three sides are known.
📖 Math 📚 Triangles

Area of a Regular Polygon

Math → Geometry → Polygons → Area
$$A = \frac{1}{2} n s a$$
Calculates the area of any regular polygon given its number of sides, side length, and apothem.
📖 Math 📚 Polygons

Volume of a Pyramid

Math → Geometry → 3d Shapes → Volume
$$V = \frac{1}{3}Bh$$
The capacity of a pyramid with any polygon base.
📖 Math 📚 3d Shapes

Midpoint Formula (3D)

Math → Geometry → Coordinate Geometry → Analytical Geometry
$$M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2}\right)$$
Finds the coordinates of the exact center point between two endpoints in 3D space.
📖 Math 📚 Coordinate Geometry
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