Find a center of circle given a point and radius

[cg76]

Hi all,

How do I find the center of a circle given a point (tangent to the circle) and the radius.

Thanks,
CG

 

[rktpro]

Hi all,

How do I find the center of a circle given a point (tangent to the circle) and the radius.

Thanks,
CG

What does that mean? Any point on a tangent or the point of contact of tangent and circle?

 

[gsal]

This problem does not have a single solution, instead, the solution of where the center of the circle could be is a circle in itself; in other words, the locus of the solution is a circle with center at the point given.

 

[phinds]

Hi all,

How do I find the center of a circle given a point (tangent to the circle) and the radius.

Thanks,
CG

A point cannot be tangent to a circle, so it's not clear what you are talking about

 

[CellCoree]

I can provide you with a mathematical solution to this problem. To find the center of a circle, you can use the formula (x-h)^2 + (y-k)^2 = r^2, where (h,k) represents the coordinates of the center and r is the radius. Plugging in the given point and radius, you can solve for h and k to find the center of the circle. Alternatively, you can also use the Pythagorean theorem to find the distance between the given point and the center, and then use this distance to construct a perpendicular line from the point to the center. The intersection of this line and the circle's circumference will give you the coordinates of the center. I hope this helps. Let me know if you have any further questions.