SAT Math Practice Question #25313 - SATify | SATify

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SAT Math Practice Question #25313 - SATify | SATify

#25313

geometry

circles

medium

120 sec

On circle $O$ , points $C$ and $D$ are on the same side of diameter $\overline{A B}$ , $∠ A OC = 3 0^{\circ}$ , and $∠ D OB = 7 5^{\circ}$ . What is the ratio of the area of the smaller sector $CO D$ to the area of the circle?

A.

$\frac{1}{6}$

B.

$\frac{5}{24}$

C.

$\frac{1}{4}$

D.

$\frac{7}{24}$

E.

$\frac{1}{3}$