Calculating the centroid of a 90-degree pipe elbow can be approached using Excel or MathCAD by employing either integral calculus or discrete summation methods. Drawing a CAD model can also provide precise centroid location information. The elbow, being a body of revolution, allows for calculations based on the radius of the bend and the geometry of a tapered cylinder. The centroid's coordinates can be expressed as functions of the angle theta, specifically using the formulas \bar{x}=r\sin\theta and \bar{y}=r\cos\theta. Accurate calculations can be achieved through these mathematical approaches.