Question

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A circle is described by the equation . What are the cordinates for the center of the circle and the length of the radius?

Answer 1

(-12,-32), 23units

(-12,-32), 49units

(12,32), 49units

(12,32), 23units

Answer 2

Where is the equation?

Answer 3

(x−12)2+(y−32)2=49.

Answer 4

thats the equation @mathstudent55

Answer 5

The equation of a circle with center at (h, k) nad radius r is

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

Compare the equation you were given with the form above.
What are your values of h, k, and r?

Answer 6

12, 32, and 49? @mathstudent55

Answer 7

12 and 32 are correct for h and k, respectively, so the center is (12, 32).
Be careful with the radius.
The right side has to be written as r^2. Then r is the radius.
Your right side is 49. How do you write 49 as the square of something?

Answer 8

7

Answer 9

h= .25
k=2.25
r= .2?

Answer 10

Correct.
\((x−12)^2+(y−32)^2=7^2\)

Center: (12, 32)
Radius: 7

Answer 11

I have a question for you.
In your choices, you have radius only of 49 and 23.
Did your equation have 49 or 49^2 on the right side?

Answer 12

49

Answer 13

thankyou so much though, i got the right answer :D @mathstudent55

Answer 14

Great.

Answer 15

You're welcome.