A circle with center (-1, 2) passes through point (2, -2). Which is true?

1 answer

A) The circle has a radius of 5.

To solve this problem, we can use the distance formula to find the distance between the center of the circle (-1, 2) and the point on the circle (2, -2).

Distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((2 - (-1))^2 + (-2 - 2)^2)
d = sqrt(3^2 + (-4)^2)
d = sqrt(9 + 16)
d = sqrt(25)
d = 5

Therefore, the distance between the center of the circle and the point on the circle is 5. Since all points on the circle are equidistant from the center, the radius of the circle is 5.

Thus, (A) The circle has a radius of 5 is true.