Question

Point Q lies on the circle and has an X-coordinate of 4. Which value could be the y-coordinate for point Q? ​

Answer 1

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

$r^2=x^2+y^2$

Solving for y:

$y^2=r^2-x^2$

$y^2=5^2-4^2$

$y^2=25-16=9$

$y=\sqrt{9}=3$

The y-coordinate of Q is 3