Question

Question 15 2 pts The point (-2, -1) lies on a circle. What is the length of the radius of this circle if the center is located at (0.4)? 29√21√29√7

Answer 1

To answer this question, we need to remember the equation for a circle with a center at point (h, k) is given by:

`(x-h)^2+(y-k)^2=r^2`

We have that the center of this circle is located at point (0, 4). Then, we have:

• h = 0

,

• k = 4

And we also know that the point (-2, -1) lies on this circle. Then, we have:

• x = -2

,

• y = -1

Therefore, we can substitute these values into the previous equation to find the radius of this circle as follows:

`(-2-0)^2+(-1-4)^2_{}=r^2\Rightarrow r^2=(-2)^2+(-5)^2\Rightarrow r^2=4+25`

Now, we finally have that the length of the radius of this circle is (squared root of 29 units) (third option):

`r^2=29\Rightarrow\sqrt[]{r^2}=\sqrt[]{29}\Rightarrow r=\sqrt[]{29}`

We can represent graphically the equation of the circle as follows:

`(x-0)^2+(y-4)^2=(\sqrt[]{29})^2=(x-0)^2+(y-4)^2=29`