SAT Math Practice Question #39704 - SATify | SATify

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SAT Math Practice Question #39704 - SATify | SATify

#39704

equations

algebra

arc length

word problem

angles

circles

geometry

ratio

congruence

medium

80 sec

The circle shown has center $O$ , circumference $180$ , and diameters $\overline{PR}$ and $\overline{QS}$ . The length of arc $PS$ is three times the length of arc $PQ$ . What is the length of arc $QR$ ?

A.

$22.5$

B.

$45$

C.

$67.5$

D.

$90$