# SAT Math Multiple Choice Practice Question 457: Answer and Explanation

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**Question: 457**

**19.** Point *K* lies outside the circle with center *C* such that *CK* = 26. is tangent to the circle at point *J*, and the distance from *J* to *K* is 2 less than the distance from *K* to *C*. What is the circumference of the circle?

A. 10π

B. 15π

C. 20π

D. 22π

E. 24π

**Correct Answer:** C

**Explanation:**

**C** Draw a picture! Look at triangle *CJK*. ∠*CJK* is 90° because the radius of a circle is always perpendicular to a line tangent to that circle. Use the Pythagorean theorem, (*CJ*)^{2} + 24^{2} = 26^{2}, or your knowledge of right triangles (this is a multiple of a 5:12:13 triangle) to get *CJ* = 10, which represents the radius of the circle. So the circumference of the circle = 2π × 10 or 20π.