Question

The point (6,5) lies on a circle centered at (3,-2) find the radius of the circle

Answer 1

`r=√(58)\ units` or
`r=7.6\ units`

Explanation:

we know that

The distance from the center to any point on the circumference is equal to the radius

so

Find the distance between the points (6,5) and (3,-2)

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

substitute the values

`d=\sqrt{(-2-5)^(2)+(3-6)^(2)}`

`d=\sqrt{(-7)^(2)+(-3)^(2)}`

`d=√(58)`

so

`r=√(58)\ units`

or

`r=7.6\ units`