Final answer:
To find the area of a circle with a circumference of 50.24 units, divide the circumference by 2π to find the radius. Then use the formula A = πr² to find the area. The correct answer is C. 200 square units.
Step-by-step explanation:
To find the area of a circle, we can use the formula A = πr², where A is the area and r is the radius of the circle. In this case, the circumference of the circle is given as 50.24 units. The formula for the circumference of a circle is C = 2πr, so we can solve for r by dividing the circumference by 2π. Once we have the value of r, we can plug it into the formula for the area to find the answer.
Given that the circumference is 50.24 units, we can find the radius by dividing it by 2π: r = 50.24 / (2π) = 8 units. Now, we can use this value of r to find the area:
A = π(8)² = 64π square units. Since the answer choices are given in terms of whole numbers, we can approximate the value of π to be approximately 3.14. Therefore, the area is approximately 64(3.14) = 200.96 square units. Therefore, the correct answer is C. 200 square units.