Square Inches of a Circle Calculator
Calculate the area of a circle in square inches from radius or diameter with unit conversion and step-by-step math.
Square Inches of a Circle
Square inches of a circle is the area of a circle expressed in square inches (sq in or in²). This imperial unit is widely used in construction, carpeting, and manufacturing in the United States. Enter the radius or diameter in inches, feet, centimeters, or other units.
Related: Square Footage Circle Calculator, Square Inch to Square Foot Converter, and Area Calculator.
Formula
$$\text{Area (sq in)} = \pi r^2$$
Convert the radius to inches first, then apply the formula.
Worked Example
A circle with radius 3 cm equals $3 / 2.54 \approx 1.181$ inches. The area is $\pi \times 1.181^2 \approx 4.38$ sq in.
Frequently Asked Questions
How do I convert cm to square inches for a circle?
Convert the radius to inches (divide cm by 2.54), then compute $\pi r^2$.
How many square inches are in a square foot?
One square foot equals 144 square inches.
Can I use diameter instead of radius?
Yes. Select diameter mode and the calculator divides by 2 before computing the area.
Why use square inches instead of square feet?
Square inches give finer precision for smaller circular areas such as pipe cross-sections, gaskets, and small decorative items.