Question

Please help me.......

Answer 1

Point Q lies on the circumference of the circle.

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 =
`√((4-2)^2+(3-1)^2) = √(8) = 2.82`

Distance between C and Q =
`√((4-7)^2+(3-4)^2) = √(10) = 3.16`

Distance between C and R =
`√((4-1)^2+(3-3)^2) = √(9) = 3`

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.