SAT Math Multiple Choice Practice Question 364: Answer and Explanation

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Question: 364

12. The point (14, 14) is the center of a circle, and (2, 9) is a point on the circle. What is the length of the diameter of the circle?

A. 24
B. 26
C. 50
D. 144π
E. 169π

Correct Answer: B


B To solve this problem, you need to find the distance between the center of the circle (14, 14) and the point on the circle (2, 9). To do this, you can use the distance formula.

You can also draw a right triangle connecting the two points. It gives you a triangle with one leg of 5 and one leg of 12. Set up the Pythagorean theorem and solve for r.

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