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EnthusiasticOcean7715

Uploaded by EnthusiasticOcean7715

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geometric formulas mathematics geometry shapes

Summary

This document provides geometric formulas for various shapes, including rectangles, squares, triangles, circles, and more. It covers basic calculations like finding perimeter, area, and volume. Useful for students learning geometry.

Full Transcript

# Geometric Formulas ## Rectangle - Perimeter: P = 2l + 2w - Area: A = l * w ## Square - Perimeter: P = 4s - Area: A = s² ## Triangle - Perimeter: P = a + b + c - Area: A = ½bh ## Sum of Angles of Triangle - A + B + C = 180° - The sum of the measures of the three angles is 180°. ## Right Triang...

# Geometric Formulas ## Rectangle - Perimeter: P = 2l + 2w - Area: A = l * w ## Square - Perimeter: P = 4s - Area: A = s² ## Triangle - Perimeter: P = a + b + c - Area: A = ½bh ## Sum of Angles of Triangle - A + B + C = 180° - The sum of the measures of the three angles is 180°. ## Right Triangle - Perimeter: P = a + b + c - Area: A = ½ab - One 90° (right) angle ## Pythagorean Theorem (for right triangles) - a² + b² = c² ## Isosceles Triangle - Triangle has two equal sides and two equal angles. ## Equilateral Triangle - Triangle has three equal sides and three equal angles. ## Trapezoid - Perimeter: P = a + b + c + B - Area: A = ½h(B + b) ## Parallelogram - Perimeter: P = 2a + 2b - Area: A = bh ## Circle - Circumference: C = πd - Area: A = πr² - C = 2πr ## Rectangular Solid - Volume: V = LWH - Surface Area: S = 2LH + 2LW + 2WH ## Cube - Volume: V = s³ ## Cone - Volume: V = (1/3)πr²h ## Right Circular Cylinder - Volume: V = πr²h - Surface Area: SA = 2πr² + 2πrh ## Sphere - Volume: V = (4/3)πr³ ## Other Formulas: - Distance: d = rt (r = rate, t = time) - Percent: p = br (p = percentage, b = base, r = rate) ## Temperature - F = (9/5)C + 32 - C = (5/9)(F - 32) ## Simple Interest - I = Prt - (P = principal, r = rate, t = time in years)

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