ACT Math Practice Question #1210 (Foundational (27)) | Test Citadel
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ACT Math Difficulty: Foundational (27)

Digital ACT Math Practice Question #1210

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A circle has equation $(x + 3)^2 + (y - 5)^2 = 36$. Which of the following represents the circumference of this circle?
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Radius is $\sqrt{36} = 6$. Circumference is $2\pi r = 12\pi$.

Masterclass Solution & Distractor Trap Analysis

The standard equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$. Here, $r^2 = 36$, so the radius is $r = \sqrt{36} = 6$. The circumference of a circle is $C = 2\pi r = 2\pi(6) = 12\pi$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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