# Internal Cross-Sectional Area of a Pipe: Calculation and Explanation

What is the internal cross-sectional area of the pipe where the fluid flows?

The internal cross-sectional area of the pipe where the fluid flows is obtained by subtracting the outside area of the pipe with the pipe wall area. After converting measurements to centimeters and performing the correct calculations, this area ends up being 12.14 cm^2.

## Calculation Details

**Given Data:**- Outside Diameter: 1.75 inches - Wall Thickness: 0.10 inches - Conversion: 2.54 cm in one inch - Formula: Area of a circle = PI * r^2 (PI = 3.14) To calculate the internal cross-sectional area where the fluid flows, we first need to find the diameter of the internal area of the pipe. This can be obtained by subtracting twice the wall thickness from the outer diameter: Internal Diameter = Outside Diameter - 2 * Wall Thickness Internal Diameter = 1.75 inches - 2 * 0.10 inches Internal Diameter = 1.55 inches Next, we convert this diameter into centimeters using the conversion factor: Internal Diameter (cm) = 1.55 inches * 2.54 cm/inch Internal Diameter (cm) = 3.93 cm Now, we substitute this value into the formula for the area of a circle to find the internal cross-sectional area: Area = PI * (r)^2 Area = 3.14 * (3.93/2)^2 Area = 3.14 * 1.965^2 Area = 3.14 * 3.86

**Area = 12.14 cm^2**Therefore, the internal cross-sectional area of the pipe where the fluid flows is 12.14 square centimeters when rounded to two decimal places.