SOLUTION: Find the missing coordinate of the center of the circle with the given characteristics. The center is (1,b), the radius is 3, and a point on the circle is (-2,0).

Algebra ->  Circles -> SOLUTION: Find the missing coordinate of the center of the circle with the given characteristics. The center is (1,b), the radius is 3, and a point on the circle is (-2,0).       Log On


   



Question 194701: Find the missing coordinate of the center of the circle with the given characteristics.
The center is (1,b), the radius is 3, and a point on the circle is (-2,0).

Answer by solver91311(24713) About Me  (Show Source):
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Any point on a circle is equidistant from the center, and that distance is equal to the radius of the circle. That means the distance from (1,b) to (-2,0) must be equal to 3. Using the distance formula:



Plugging in the values:



Square both sides:






John