PSAT Math Grid-Ins Question 116: Answer and Explanation
Question: 116
A circle has the equation x2 + y2 = 36. What is the shortest distance in units from the origin to a point on the circle?
Correct Answer: 6
Explanation:
(6) A circle has the formula (x -h)2 + (y - k)2 = r2, where (h, k) provides the coordinates for the center of the circle and r is the radius of the circle. This circle, therefore, has a center at (0, 0), otherwise known as the origin. It has a radius of 6. Therefore, a line from the origin to any point on the circle has a distance of 6 units.
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