Question

Find the length of the diameter of a circle that has a center at Point T (3, 1) and passes through the point (1, -6).

Answer 1

`D=14.56`

Explanation:

We know that the diameter of a circle is twice the radius.

Calculate the radius of the circle with the formula for calculate the distance between two points:

`d=r=√((x_2-x_1)^2+(y_2-y_1)^2)`

Where "r" is the radius.

Knowing that the center of the circle is at point (3, 1) and the circle passes through the point (1, -6), we can substitute values into the formula to find the radius:

`r=√((3-1)^2+(1-(-6))^2)=√(53)`

Then the diameter of the circle is:

`D=2r\\D=2√(53)`

`D=14.56`