Question

question 5 of 10

this circle is centered at the origin, and the length of its radius is 8. what is the circles equation?

a. (x^8 + y^8 = 64)
b. (x^2 + y^2 = 64)
c. (x^2 + y^2 = 8)
d. (x + y = 8)

Explanation:

Identify the standard equation of a circle centered at the origin

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

Substitute the given radius into the equation

$$
LATEXBLOCK0
$$

Write the final equation

$$ x^2 + y^2 = 64 $$

Answer:

• A. \(x^8 + y^8 = 64\)
• B. \(x^2 + y^2 = 64\) (Correct answer)
• C. \(x^2 + y^2 = 8\)
• D. \(x + y = 8\)