A circle has its center at (2, -3) and passes through the point (5, 1). What is the area of the circle?
Show the answer and explanation
Correct answer
A. 25π
Principle or equation
The radius of a circle is the distance from the center to any point on the circle. Area = πr^2.
Why this answer is correct
Distance from (2, -3) to (5, 1) is sqrt((5-2)^2 + (1+3)^2) = sqrt(9 + 16) = sqrt(25) = 5. So radius r = 5, area = π * 5^2 = 25π.
Example
For center (1, -2) and point (4, 2), radius = 5, area = 25π.
This published item includes a stored explanation and passed the platform’s publication workflow. It is independent preparation material, not a claim of an official or recalled examination question.