Question

Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?

Answer 1

The radius of the circle is √26.

Explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

`x^(2) =(x_(A)- x_(C)) ^(2) + (y_(A)- y_(C)) ^(2)`

Replacing the numeric values:

`r^(2) =(3- (-2)) ^(2) + (2-3) ^(2)\\r^(2) =(5) ^(2) + (-1) ^(2)\\r=√(26)`

The radius of the circle is √26.