Circumference Formula


Unlimited Tutoring & Homework Help
  • Instant Help. Connect to a Tutor Now. »   
  • K-12, College and AP Exams
  • 24 x 7 Private Tutoring

The circumference or the perimeter of a circle is given by using the circumference formula

Circumference = 2.π . r or by an alternate formula

Circumference = π .d

Where r represents the radius of a circle

d represents the diameter of a circle.

π represents a transcendental number whose approximate value is 3.14

C is the center of the circle shown in the figure.

Lets consider an example.

Find the circumference of a circle with radius 5 cm.

Circumference formula is:

Circumference Formula

Circumference = 2.π.r Here r =5cm therefore we have 2.π.5 = 31.4159 cm

If diameter of a circle is given we can either compute radius from diameter and utilize the same formula as above or use the diameter version of the circumference formula

Circumference = π.d

The circumference of a circle with diameter as 8cm is:

Apply diameter version of the circumference formula π.d, we get

π.8 = 25.1327 cm

To get an in depth understanding of the above concepts connect to a live tutor