ACT Math Practice Question #1463 (Medium (31)) | Test Citadel
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ACT Math Difficulty: Medium (31)

Digital ACT Math Practice Question #1463

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In a circle with radius 10 cm, a chord has length 16 cm. What is the perpendicular distance, in centimeters, from the center of the circle to the chord?
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6-8-10 Pythagorean triple! Half-chord = 8, radius = 10 -> distance = 6.

Masterclass Solution & Distractor Trap Analysis

The perpendicular from the center bisects the chord into two 8 cm segments. A right triangle is formed with hypotenuse r = 10 and leg = 8. The distance d = sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6 cm....

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

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