Geometry Formulas Flashcards

Questions and Answers

What is the formula for the area of a triangle?

A = ½bh

What is the formula for the area of a square or rectangle?

A = lw

What is the formula for the area of a circle?

A = πr²

What is the formula for the circumference of a circle?

C = 2πr Signup and view all the answers

What is another formula for the circumference of a circle?

C = πd Signup and view all the answers

What is the formula for the area of a trapezoid?

A = ½h(b₁ + b₂) Signup and view all the answers

What is the formula for the area of a parallelogram?

A = lw Signup and view all the answers

What is the formula for the surface area of a rectangular prism?

SA = 2lw + 2hw + 2lh Signup and view all the answers

What is the formula for the volume of a rectangular prism?

V = lwh Signup and view all the answers

What is the formula for the volume of a cone?

V = 1/3πr²h Signup and view all the answers

What is the formula for the surface area of a square pyramid?

SA = B + ½PL Signup and view all the answers

What is the formula for the surface area of a cylinder?

SA = 2πrh + 2πr² Signup and view all the answers

What is the formula for the volume of a cylinder?

V = πr²h Signup and view all the answers

What is the formula for the perimeter of a rectangle?

P = 2l + 2w Signup and view all the answers

What is the formula for the perimeter of a triangle?

P = s1 + s2 + s3 Signup and view all the answers

What is the formula for the perimeter of a square?

P = 4s Signup and view all the answers

What is the formula for the volume of a pyramid?

V = 1/3Bh Signup and view all the answers

What is the formula for the volume of triangular prisms?

V = ½(bh)l Signup and view all the answers

What is the formula for the surface area of a cone?

SA = πr² + πrL Signup and view all the answers

What is the formula for the surface area of a triangular prism?

SA = bh + 2ls + lb Signup and view all the answers

Study Notes

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.

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Description

Test your knowledge of essential geometry formulas with these flashcards. Each card covers a specific formula for calculating areas and circumferences of various shapes. Perfect for students preparing for exams or anyone looking to brush up on their geometry skills.