A circle has its center at (1, -2) and passes through the point (4, 2). What is the area of the circle?
Show the answer and explanation
Correct answer
A. 25π
Principle or equation
The radius is the distance from the center to a point on the circle. Area = πr^2.
Why this answer is correct
Radius r = sqrt((4-1)^2 + (2-(-2))^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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