Difference between revisions of "2018 AMC 12B Problems/Problem 4"

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==Problem==
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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>
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==Solution==
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{{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) $25\pi$ (B) $50\pi$ (C) $75\pi$ (D) $100\pi$ (E) $125\pi$

Solution

2018 AMC 12B (ProblemsAnswer KeyResources)
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