SOLUTION: Let C be the circle (x-1)^2 + (y-2)^2 =144 and P be the point (10,10) is the point in the circle, out of the circle, or on the circle. I am pretty sure the answer is P is outside o

Question 140533: Let C be the circle (x-1)^2 + (y-2)^2 =144 and P be the point (10,10) is the point in the circle, out of the circle, or on the circle. I am pretty sure the answer is P is outside of the circle, but I what I am kind of looking for is how this problum would be solved.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the equation is in the center-radius form
__ center (1,2) and radius 12

use the distance formula from the center to the point in question
__ is it more than, less than, or equal to the radius

(10-1)^2+(10-2)^2=d^2 __ 81+64=d^2 __ 145=d^2

d^2 is greater than r^2, so the point is outside the circle (but not by much)
RELATED QUESTIONS
A point on the circumference of the circle with the equation (x+10)^2+(y+1)^2=25 is... (answered by stanbon)

O is the center of the circle defined by x^2+y^2=169. Let P be the point in the first... (answered by josgarithmetic)

The line y = x + 2 intersects the circle x2 + y2 = 10 in two points. Call the third-... (answered by Edwin McCravy,greenestamps)

Given that (0,1) is the center of a circle and (-4,4) is a point on the circle, find the... (answered by robertb)

Let point A be a point on the circle whose equation is (x - 3)^2 + (y + 4)^2 = 50. How... (answered by ikleyn,Edwin McCravy)

In a circle, diameter is extended through B to an external point P. Tangent is drawn (answered by ikleyn)

Is this correct? The point P is on the unit circle. Find the coordinates of P if the... (answered by lwsshak3)

write true or false after the statement. 1. All radii of two or more circles are... (answered by Edwin McCravy)

Given the circle x^2+y^2=25 and the point A(3.-4) on the circle. Find the equation of the (answered by Alan3354)