The difference between circumference and diameter of a circle is 15 m. What is the area of the circle?
A. 25 m²
B. 65 m²
C. 38.5 m²
D. None of these

Let's break down the problem step by step.

Given Information:

The difference between the circumference and the diameter of the circle is 15 meters.
The formula for circumference of a circle is:
C = 2πr
where r is the radius of the circle.
The formula for diameter of a circle is:
D = 2r
Setting up the equation: The problem says the difference between the circumference and the diameter is 15 meters. This can be written as:
C - D = 15
Substituting the formulas for C and D, we get:
2πr - 2r = 15

Simplifying the equation: Factor out the common term 2r:
2r(π - 1) = 15
Now, divide both sides by 2(π - 1):
r = 15 / [2(π - 1)]

Calculating the radius: Using the approximate value of π = 3.1416:
r = 15 / [2(3.1416 - 1)]
r = 15 / [2(2.1416)]
r = 15 / 4.2832
r ≈ 3.51 meters

Finding the area of the circle: The formula for the area of a circle is:
A = πr²
Substituting the value of r:
A ≈ 3.1416 × (3.51)²
A ≈ 3.1416 × 12.34
A ≈ 38.75 m²

Conclusion: The area of the circle is approximately 38.75 m². The closest option is 38.5 m².

Thus, the correct answer is C. 38.5 m².