ISEE Word Problems Question 264: Answer and Explanation
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Question: 264
13. If point (–1, 10) lies on a circle with center (–6, –2), what is the radius of the circle?
- A. 7 grid units
- B. 8 grid units
- C. 12 grid units
- D. 13 grid units
Correct Answer: D
Explanation:
D
Use the distance formula: . Plugging in the given points yields
=
= 13.
Plot the points in the coordinate plane and connect them. This line is the hypotenuse of a right triangle, so drawn in the two legs. Count the number of units left to right and the number of units bottom to top. Use these numbers in the Pythagorean theorem.