SAT Math Practice Question #1636 (Medium (640)) | Test Citadel
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SAT Math Difficulty: Medium (640)

Digital SAT Math Practice Question #1636

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The equation of a circle in the xy-plane is \(x^2 + y^2 - 6x + 8y = 24\). What is the radius of the circle?
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r^2 = 24 + (-6/2)^2 + (8/2)^2 = 24 + 9 + 16 = 49 -> r = 7.

Masterclass Solution & Distractor Trap Analysis

Complete the square for x and y: \((x^2 - 6x + 9) + (y^2 + 8y + 16) = 24 + 9 + 16 = 49\). In standard form \((x - 3)^2 + (y + 4)^2 = 49 = r^2\). Thus \(r = \sqrt{49} = 7\)....

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

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