Question

What is the radius of a circle with the given center C that passes through the given point Z?

17. C (-4, -5); Z (-10, -5)

A. 4
B. SQRT(202)
C.SQRT(290)
D. SQRT(61)
E. SQRT(173)
F. 6

Answer 1

Ok, NOW you need to use the Pythagorean Theorem like I said in your previous question.

To recap: The difference between the x values of two points is the length of one of the sides of a right triangle, the difference between the y values is the length of the other side. The length of the hypotenuse is the distance between the two points, so find the two lengths, add the squares, take the square root of the result, and you have your radius.

Answer 2

i got 6

Answer 3

@jam104, please don't give answers without an explanation of how you got them...it goes against site policies.

Answer 4

You don't nee to use the theorem because they share a point. You can simply count the difference in the x values. And the distance formula is what you need to use which is essentially the Pythagorean theorem just rewritten for immediate and easier use.

Answer 5

\[\huge d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 6

@ChmE: True, but eventually she's going to get a problem where they don't share a x or y value and the theorem still works even if one side has zero length.

Answer 7

And that is where the distance formula comes into play

Answer 8

Yes...I posted my previous response before you posted the formula.