Question

a circle with center (1,5) passes through the point (10,10). what is the area of the circle rounded to the nearest square unit?

Answer 1

The points of the circle satisfy the equation
.. (x -1)^2 +(y -5)^2 = r^2
Filling in the given information, we can find r^2.
.. (10 -1)^2 +(10 -5)^2 = r^2
.. 81 +25 = r^2 = 106

The area of the circle is
.. A = πr^2 = 106π ≈ 333 . . . . square units