Answer:
Point Q lies on the circumference of the circle.
Step-by-step explanation:
We are given a circle with the point C (4,3) as its center with a radius of 3.16 units and we need to figure which of the given point lies on the circumference of the circle.
We can find this by using the distance formula:
Distance between C and P = [tex]\sqrt{(4-2)^2+(3-1)^2} = \sqrt{8} = 2.82[/tex]
Distance between C and Q = [tex]\sqrt{(4-7)^2+(3-4)^2} = \sqrt{10} = 3.16[/tex]
Distance between C and R = [tex]\sqrt{(4-1)^2+(3-3)^2} = \sqrt{9} = 3[/tex]
Since the distance between the points C and Q equals to the radius of the circle, therefore point Q lies on the circumference of the circle.
