Digital SAT Math Practice Question #9
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Recall the standard circle equation: \( (x - h)^2 + (y - k)^2 = r^2 \). Complete the square if the equation is expanded.
Elimination Shortcut: Check the extremes or test answer choices starting with C to binary search the correct magnitude.
The radius is the distance between the center (3, -2) and the point (7, 1). Using the distance formula: r = sqrt((7 - 3)^2 + (1 - (-2))^2) = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5. The area of a circle is A = πr^2. So, A = π(5)^2 = 2...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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