High School

Select the correct answer.

Circle F is represented by the equation \((x + 6)^2 + (y + 8)^2 = 9\). What is the length of the radius of circle F?

A. 3
B. 9
C. 10
D. 81

Answer :

Answer:

A. 3

Step-by-step explanation:

The standard equation of a circle is: [tex](x-h)^2+(y-k)^2=r^2[/tex].

In this question, you're asked to find the length of the radius. The r^2 given in this equation is 9, so to find the radius, you square root the 9.

[tex]r^2=9\\\sqrt{r^2} =\sqrt{9}\\ r=3[/tex]

Therefore, the length of the radius equals 3, or A.
The radius should be 3 and the center is (-6,-8)

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