Question

Circle Q is centered at the origin. Is point (-5, 0) on the circle? Justify your answer

Answer 1

The answer is No, because the distance from the origin to point (-5,0) is less than the radius of the circle. Why? Well, given that point (-5,0) is 5 units away in absolute value from the origin, we can justify that it is not on the circle because the radius is 6 units long.

How to find the radius of a circle:

To find the radius of a circle, what we do typically is we start at the middle point of the circle (which in this case is the origin or (0,0)). From the middle point, we measure the distance to one side of the circle. This side of the circle can be either vertical or horizontal, but you mainly will encounter problems where it is horizontal. Because we have a number line, we can count out that the distance from the origin to any of the sides of the circle is 6 units. Because 6 is greater than 5, we now know that the point (-5,0) is not on the circle.

Your final answer: D is your final answer. If you need to better understand this, let me know and I will gladly assist you.