Difference between revisions of "2018 AMC 12B Problems/Problem 4"
(Created page with "A circle has a chord of length 10, and the distance from the center of the circle to the chord is 5. What is the area of the circle? (A) <math>25\pi</math> (B) <math>50\...") |
|||
Line 1: | Line 1: | ||
+ | ==Problem== | ||
+ | |||
A circle has a chord of length 10, and the distance from the center of the circle to the chord is 5. What is the area of the circle? | A circle has a chord of length 10, and the distance from the center of the circle to the chord is 5. What is the area of the circle? | ||
(A) <math>25\pi</math> (B) <math>50\pi</math> (C) <math>75\pi</math> (D) <math>100\pi</math> (E) <math>125\pi</math> | (A) <math>25\pi</math> (B) <math>50\pi</math> (C) <math>75\pi</math> (D) <math>100\pi</math> (E) <math>125\pi</math> | ||
+ | |||
+ | ==Solution== | ||
+ | |||
+ | |||
+ | |||
+ | {{AMC12 box|year=2018|ab=B|num-b=3|num-a=5}} |
Revision as of 15:15, 16 February 2018
Problem
A circle has a chord of length 10, and the distance from the center of the circle to the chord is 5. What is the area of the circle?
(A) (B) (C) (D) (E)
Solution
2018 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 3 |
Followed by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |