Question

Part I: Describe the center and radius of the circle.

The center is at ___.

The radius is __ units.


Part II: Use the equation below to identify the value of each variable for the circle.

Standard Form Equation of a Circle(x - h)2 + (y - v)2 = r2
(h, v) = center
r = radius length

h =__ v =__r =__

Part III: Use Parts I and II to write the standard form equation of the circle.

Answer 1

Answer:

Center (2,4) , radius=3, h=2 v=4 & r=3

Step-by-step explanation:

Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)

Now, in order to find the length of the radius, you need to do the following:

Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3

As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)

So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:

(x-2)^2 + (y-4)^2 = 9

Answer 2

The center is at (2, 4). The radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.

How do find the required values?

The required value can be found by counting the coordinates from the given graph.

The value of the center and the radius of the circle can be found below:

A diagram is provided. We should observe the diagram, we can see that the center of the circle is at (2,4) on the graph.

We can also find that the radius of the circle is 3 units by counting the lines.

The center of the circle is denoted by (h, v) = (2, 4). The radius r is 3 units.

We have found the center and the radius. We can use this to make the standard equation of the circle.

The standard equation of a circle is given by:

(x - h)2 + (y - v)2 = r2

Now substitute the values h, v and, r:

(x - 2)² + (y - 4)² = 9

Therefore, we have found that the center is at (2, 4)and the radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.

Learn more about the standard equation of the circle here: https://brainly.com/question/1506955

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