 To solve the geometry questions in the GMAT exam, it’s essential you are thorough with the GMAT Math Geometry formulas as it makes solving questions faster and easier. Here is an article that covers all the essential geometry formulas you need to ace Geometry questions in the GMAT quant section.

So let’s take a look at this GMAT Math Geometry formulas list.

Perimeter Formulas

 Shape Formula Where, P = Perimeter and Square P = 4s s = sides Rectangle P = 2l + 2w l = length w = width Parallelogram P = 2l + 2w l = length w = width Trapezoid or Trapezium P = s {1} + s {2} + b {1} + b {2} s {1} and s {2} are two sides and b {1} and b {2} are the two bases of the figure. Triangle P = s {1} + s {2} + b s {1} and s {2} are two sides and b = base Rhombus P = 4l l = length

Area Formulas

 Shape Formula Where A = Area and Triangle A = {1} / {2} times b times h b = base h = vertical height Square A = a ^ {2} a = length of side Rectangle A = w times h w = width h = height Parallelogram A = b times h b = base h = vertical height Trapezoid or Trapezium A = {1} / {2} (a + b) times h a, b = length if two sides of the figure h = vertical height Circle A = pi.r^{2} r = radius Ellipse A = pi.ab a, b = longest and shortest radius of the figure Sector of a Circle A = {1} / {2} r ^ {2} theta r = radius theta = angle in radians Regular n-polygon A = {1}/{4} times n times a^{2} times cot {pi}/{n} n = number of sides a = length of the sides

Surface Area Formulas

 Shape Formula Where S = Surface Area and Rectangular Solid S = 2lh + 2wh + 2wl l  = length h = height w = width Cube S = 6s^{2} s = sides of the cube Right Circular Cylinder S = 2.pi times rh + 2.pi times r^{2} h = vertical height of the cylinder r = radius of the base Sphere S = 4.pi times r^{2} r  = radius Right Circular Cone S = pi times r^{2} + pi.r times whole root of (r^{2} + h^{2}) h = vertical height r  = radius of the base Torus S = pi^{2} times (R^{2} – r^{2}) R = radius of the larger base r = radius of the smaller base

Volume Formulas

 Shape Formula Where V = Volume and Rectangular Solid V = lwh l  = length h = height w = width Cube V = s^{3} s = sides of the cube Right Circular Cylinder V = pi times r^{2}h h = vertical height of the cylinder r  = radius of the base Sphere V = {4}/{3} times pi.r^{3} r  = radius Right Circular Cone V = {1}/{3} pi.r^{2}h h = vertical height r = radius of the base Square or Rectangular Pyramid V = {1}/{3} lwh l  = length of the base h = vertical height w = width of the base (In case of square, both l and w will be equal)

Circle

Circumference of a Circle

Circumference (C) = pi.d = 2 times pi.r

Where, d = Diameter and r = Radius

Area of a Circle

Area (A) = pi.r^{2}

Pythagoras Theorem

The Pythagorean Theorem states that the area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides.

This implies that in the above Triangle, a and b are the lengths of the two legs of the triangle and c is the length of the hypotenuse of the triangle.

a^{2} + b^{2} = c^{2}

For any math or quantitative aptitude problem, formulas are those fundamentals that help you to think and solve them with ease. Hence, memorizing these GMAT math geometry formulas thoroughly helps solve easy or even difficult problems faster.

Now that you know these GMAT math Geometry formulas, you’re better positioned to apply these formulas to the various Geometry questions that appear in your practice or mock tests and of course the actual exam.