Geometry Formulas Flashcards
Square
Perimeter: 4s (s is the side length of the square)
Area: s^2 (s is the side length of the square)
Rectangle
Perimeter: 2a + 2b (a and b are sides of the rectangle)
Area: ab (a and b are sides of the rectangle)
Circle
Perimeter: 2πr or πd (r is the radius, d is the diameter of the circle)
Area: π(r^2) (r is the radius of the circle)
Triangle
Perimeter: a + b + c (a, b, and c are sides of the triangle)
Area: (1/2)bh (b is the base, h is the height of the triangle)
Parallelogram
Perimeter: 2a + 2b (a and b are sides of the parallelogram)
Area: bh (b is base, h is height of parallelogram)
Arc/Sector
Arc Length: πr(θ/180°) (r is radius of the circle)
Sector Area: π(r^2)(θ/360°) (r is the radius of the circle)
Pythagorean Theorem
(a^2) + (b^2) = c^2 (a and b are legs, c is hypotenuse)
Circular Ring
Area: π[(R^2) - (r^2)] (R is larger radius, r is smaller radius)
Sphere
Surface Area: 4π(r^2) (r is radius of sphere)
Volume: [4π(r^3)]/3 (r is radius of sphere)
Trapezoid
Perimeter: a + b + c + d (a, b, c, and d are sides of the trapezoid)
Area: h(a+b)/2 (h is height, a and b are bases)
Rectangular Prism
Surface Area: 2ab + 2ac + 2bc (a, b, and c are the length, width, and depth, respectively)
Volume: abc (a, b, and c are the length, width, and depth, respectively)
Right Circular Cone
Surface Area: π(r^2) +πrs (r is radius, s is slant height)
Slant Height: √[(r^2) - (h^2)] (r is radius, h is height)
Volume: (1/3)π(r^2)h (r is radius, h is height)
Cube
Surface Area: 6(s^2) (s is side length)
Volume: s^3 (s is side length)
Cylinder
Surface Area: 2πr(r + h) (r is radius, h is height)
Volume: π(r^2)h (r is radius, h is height)
Frustrum of a Cone
(1/3)πh[(r^2) + rR + (R^2)]
