the point (6,-1) is on a circle whose center is (12,7). whats the length of the radius of the circle?
The radius is 12 because 6 and 12 are 6 apart and 1 and 7 are 6 away. 6+6=12
No, Ariana, that is incorrect.
You have to find the distance formula to find the distance between the centre and the given point.
Dist. = √[(12-6)^2 + (7+1)^2]
= √(36+64)
= √100
= 10
Sorry, I'm not the best at math whatsoever, I've already posted like 5 math questions.
Ariana -- when you post an answer that you're not sure about, you're confusing another student. Please only post answers that you know for certain are correct.
To find the length of the radius of a circle, we can use the distance formula between two points, which is √((x2 - x1)^2 + (y2 - y1)^2).
In this case, the coordinates of the point on the circle are (6, -1), and the coordinates of the circle's center are (12, 7).
Substituting these values into the distance formula, we have:
Distance = √((6 - 12)^2 + (-1 - 7)^2)
Distance = √((-6)^2 + (-8)^2)
Distance = √(36 + 64)
Distance = √100
Distance = 10
Therefore, the length of the radius of the circle is 10 units.