Geometry Formulas Flashcards

Area Formulas

• Area of a Triangle: A = ½bh, where b is the base and h is the height.
• Area of a Square or Rectangle: A = lw, where l is length and w is width.
• Area of a Circle: A = πr², r is the radius of the circle.
• Area of a Trapezoid: A = ½h(b₁ + b₂), h is height, b₁ and b₂ are the lengths of the two bases.
• Area of a Parallelogram: A = lw, using the same definition as for squares and rectangles.

Circumference Formulas

• Circumference of a Circle: C = 2πr, where r is the radius or alternatively C = πd, with d being the diameter of the circle.

Surface Area Formulas

• Surface Area of a Rectangular Prism: SA = 2lw + 2hw + 2lh, considering all sides of the prism.
• Surface Area of a Square Pyramid: SA = B + ½PL, where B is the area of the base and P is the perimeter of the base.
• Surface Area of a Cylinder: SA = 2πrh + 2πr², combining the areas of the two circle bases and the rectangle wrapping around.

Volume Formulas

• Volume of a Rectangular Prism: V = lwh, multiplying length, width, and height.
• Volume of a Cone: V = 1/3πr²h, utilizing the radius and height.
• Volume of a Cylinder: V = πr²h, derived from circular base area multiplied by height.
• Volume of a Pyramid: V = 1/3Bh, where B is the area of the base and h is height.
• Volume of Triangular Prisms: V = ½(bh)l, involving the area of the triangular base and length.

Perimeter Formulas

• Perimeter of a Rectangle: P = 2l + 2w, calculating the total distance around the rectangle.
• Perimeter of a Triangle: P = s1 + s2 + s3, summing all three sides.
• Perimeter of a Square: P = 4s, where s is the length of one side.

Surface Area of Solids

• Surface Area of a Cone: SA = πr² + πrL, combining the area of the base and lateral surface area.
• Surface Area of a Triangular Prism: SA = bh + 2ls + lb, where bh is the area of the triangular base, ls is the lateral side, and lb is the base length.