SAT Math Practice Question #23647 - SATify | SATify

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SAT Math Practice Question #23647 - SATify | SATify

#23647

geometry

circles

chords

hard

180 sec

Let $\overline{A B}$ be a diameter in a circle of radius $10$ . Let $\overline{C D}$ be a chord in the circle that intersects $\overline{A B}$ at a point $E$ such that $BE = 2$ and $∠ A EC = 4 5^{\circ}$ . What is $C E^{2} + D E^{2}$ ?

A.

$180$

B.

$190$

C.

$200$

D.

$210$

E.

$220$