for each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning

the amount of material needed to make a drum head ( the part of the drum you hit)

To calculate the amount of material needed to make a drum head, which is a flat circular surface, you would need to calculate the area of the circle. The area of a circle tells you how much two-dimensional space is enclosed within its boundary, which directly corresponds to the amount of material required to cover it.

The formula for the area of a circle is A = πr², where A is the area, π (pi) is approximately 3.14159, and r is the radius of the circle.

In contrast, the circumference is the distance around the edge of the circle, calculated using the formula C = 2πr, where C is the circumference. While the circumference is relevant for calculating the length of the edge that might need to be finished or sealed, it does not represent the amount of material needed to create the flat circular surface of the drum head.