MathDB
Circle and Chord

Source: 2018 AMC 12B #4

February 16, 2018
AMCAMC 12AMC 12 Ageometry

Problem Statement

A circle has a chord of length 1010, and the distance from the center of the circle to the chord is 55. What is the area of the circle?
<spanclass=′latex−bold′>(A)</span>25π<spanclass=′latex−bold′>(B)</span>50π<spanclass=′latex−bold′>(C)</span>75π<spanclass=′latex−bold′>(D)</span>100π<spanclass=′latex−bold′>(E)</span>125π<span class='latex-bold'>(A) </span>25\pi\qquad<span class='latex-bold'>(B) </span>50\pi\qquad<span class='latex-bold'>(C) </span>75\pi\qquad<span class='latex-bold'>(D) </span>100\pi\qquad<span class='latex-bold'>(E) </span>125\pi
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