Question

question 8 of 10

what is the equation of the circle with center (-3.2, -2.1) and radius 4.3?

a. \\((x - 2.1)^2 - (y + 3.2)^2 = (4.3)^2\\)

b. \\((x + 3.2)^2 + (y + 2.1)^2 = (4.3)^2\\)

c. \\((x + 3.2)^2 + (y - 2.1)^2 = 4.3^2\\)

d. \\((x + 2.1)^2 + (y - 3.2)^2 = 4.3^2\\)

Explanation:

Identify the standard equation of a circle

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

Substitute the given center and radius

$$
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$$

Simplify the signs

$$ (x + 3.2)^2 + (y + 2.1)^2 = (4.3)^2 $$

Answer:

• A. \((x - 2.1)^2 - (y + 3.2)^2 = (4.3)^2\)
• B. \((x + 3.2)^2 + (y + 2.1)^2 = (4.3)^2\) (Correct answer)
• C. \((x + 3.2)^2 + (y - 2.1)^2 = 4.3^2\)
• D. \((x + 2.1)^2 + (y - 3.2)^2 = 4.3^2\)