Question: What is the length of the diameter of a circle if its area is 50π square units?

Options:

1. 5 units
2. 10 units
3. 20 units
4. 25 units

Correct Answer: 10 units

Solution:

Area = πr², so 50π = πr². Thus, r² = 50, r = √50 = 5√2. Diameter = 2r = 10√2 units.