Enter the radius of the circle and the length of each brick into the calculator to determine the total number of bricks needed.

Brick Circle Formula

The following formula is used to calculate the total number of bricks needed to create a circle of a certain size.

B  = 180/tan^-1 (s/(2*r)) 
  • Where B is the number of bricks needed to make the circle
  • s is the length of the long side of the brick
  • r is the radius of the circle

In this case, the radius and length of the brick must be in the same units, for example, both in inches.

How many bricks make a circle?

The number of bricks that make a circle depends on both the length of the brick and the radius of the circle you are trying to make.

The larger the circle the more bricks it will require. Conversely, the larger the brick, the fewer number of bricks needed to make the circle.

How to calculate the number of bricks in a circle?

Example Problem:

The following example problem outlines the steps required to calculate the number of bricks in a circle.

First, determine the radius of the circle. In this example, the person is trying to make a circle with a diameter of 40 inches. Dividing by 2 yields a radius of 20 inches.

Next, measure the long edge of the brick. The bricks being used for this circle have a length of 4 inches.

Finally, calculate the number of bricks needed using the formula above:

#B = 180/tan-1 (s/(2*r))

#B = 180/tan-1 (4/(2*20))

#B = 31.52 bricks