Question

question 1 of 10

the equation of a circle centered at the origin is \\(x^2 + y^2 = 144\\). what is the radius of the circle?

a. 14
b. 72
c. 12
d. 144

Explanation:

Identify the standard equation of a circle centered at the origin

$$ x^2 + y^2 = r^2 $$

Relate the given equation to the standard form

$$ r^2 = 144 $$

Solve for the radius

$$ r = \sqrt{144} = 12 $$

Answer:

• A. 14
• B. 72
• C. 12 (Correct answer)
• D. 144