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SAT Math Practice Question #7457 - SATify | SATify

#7457

equations

algebra

arc length

word problem

angles

circles

geometry

ratio

congruence

medium

80 sec

Refer to image.

The circle shown has center $O$ , circumference $180 π$ , 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.

$22.5 π$

B.

$45 π$

C.

$67.5 π$

D.

$90 π$