Question

Does anyone mind helping me please?

Answer 1

Answer:

Yes, Its center at (5,4) and a radius of 4 units. Does the point (9,0) lie on the circumference of circle F.

Answer 2

Answer:

no

Step-by-step explanation:

Calculate the distance d between the centre and the given point.

If the distance between the points is 4 then it lies on the circle.

Using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (9, 0 )

d = $\sqrt{(9-5)^2+(0-4)^2}$

   = $\sqrt{4^2+(-4)^2}$

   = $\sqrt{16+16}$

    = $\sqrt{32}$

    = 4$\sqrt{2}$ ≠ 4

Since 4$\sqrt{2}$ > 4 then (0, 9) lies outside the circle, not on the circumference