How To Convert Diameter To Square Centimeters

Single-dimensional measurement units like centimeters can be converted into two-dimensional units like square centimeters through common geometric shapes' area formulas. A circle's diameter, one of its defining and longest linear measurements, is a line segment that extends from one point on its circumference, through the circle's center and to another point on its circumference. With the diameter, you can find a circle's area with the equation 1/4 diameter^2 pi, where pi is a math constant that approximately equals 3.142, and convert measurements in centimeters to square centimeters.

Step 1

Measure the diameter in centimeters. For this example, let the diameter measure 10 cm.

Step 2

Multiply the diameter's length to itself to square it — 10 cm multiplied by 10 cm results in 100 cm^2.

Step 3

Multiply the squared diameter by pi — 100 cm^2 multiplied by pi equals approximately 314.2 cm^2.

Step 4

Divide the product from the last step by 4 to calculate the circle's area — 314.2 cm^2 divided by 4 equals 78.55 cm^2.

Things Needed

  • Measuring tape
  • Calculator

TL;DR (Too Long; Didn't Read)

If the diameter is given in units other than centimeters, then convert the measurement with a conversion program (see Resources).

Cite This Article

MLA

Gartneer, Chance E.. "How To Convert Diameter To Square Centimeters" sciencing.com, https://www.sciencing.com/convert-diameter-square-centimeters-8592343/. 13 March 2018.

APA

Gartneer, Chance E.. (2018, March 13). How To Convert Diameter To Square Centimeters. sciencing.com. Retrieved from https://www.sciencing.com/convert-diameter-square-centimeters-8592343/

Chicago

Gartneer, Chance E.. How To Convert Diameter To Square Centimeters last modified March 24, 2022. https://www.sciencing.com/convert-diameter-square-centimeters-8592343/

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