In the following exercises, (a) find the center-radius form of th...

Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (2, 0), radius 6

Accepted Answer

For us, our goal with the following sensor radius bind this equation in sensor radius form and graph the center being the 0. zero and our radius equals 19. Now we know the center of a circle is given by the point H K. We can use this point in acid radius form which is the same as the standard form of a circle. Standard form of a circle is given by X minus H squared plus Y minus K squared is equals to R squared. We can now replace our H K in our circle equation. If X minus 19 squared plus Y minus zero squared equals to R squared. Now R squared will just be 19 squared, which is 3 61. Our equation then is X minus 19 squared plus Y squared. S equals 3 61. Let's see if we can figure out which graph corresponds to this equation. We have a sinner and X equals 19 Y equals zero, which we can determine that graph corresponds to graph B. OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (2, 0), radius 6