A circle has center (2, -3) and passes through the point (5, 1). What is the area of the circle?
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Correct answer
C. 25π
Principle or equation
The radius of a circle is the distance from the center to any point on the circle. The area is πr^2.
Why this answer is correct
The radius r = sqrt((5-2)^2 + (1-(-3))^2) = sqrt(3^2 + 4^2) = sqrt(9+16) = sqrt(25) = 5. Area = π * 5^2 = 25π.
Example
For center (0,0) and point (3,4), r=5, area=25π.
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