SAT Math Practice Question #2547 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2547

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A sector of a circle with radius 6 has an area of $9\pi$. What is the measure of the central angle in radians?
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Geometry & Trig Rule: Always sketch the triangle or circle and check for standard Pythagorean triples (3-4-5, 5-12-13, 7-24-25, 8-15-17).

Masterclass Solution & Distractor Trap Analysis

Area $A = \frac{1}{2}r^2\theta \implies 9\pi = \frac{1}{2}(36)\theta = 18\theta \implies \theta = \frac{9\pi}{18} = \frac{\pi}{2}$ radians....

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

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