Question

Consider a wire of a circular cross-section with a radius of r = 3.06 mm. Calculate the cross-sectional area of the wire based on the given radius. Provide the formula used for the calculation.

Answer 1

The cross-sectional area of a wire with a radius of 3.06 mm is calculated using the formula A = πr², requiring the radius to be in meters.

Step-by-step explanation:

To calculate the cross-sectional area of the wire with a radius of r = 3.06 mm, you can use the formula for the area of a circle, which is A = πr². First, convert the radius from millimeters to meters by dividing by 1000, so r = 0.00306 meters. Then, square the radius and multiply by π (3.14159...).

Therefore, the calculation is A = π(0.00306 m)², which gives the cross-sectional area of the wire.