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SAT Math Practice Question #7459 - SATify | SATify

#7459

equations

algebra

arc length

word problem

angles

circles

geometry

ratio

congruence

medium

80 sec

Refer to image.

The circle shown has center $O$ , circumference $200 π$ , and diameters $\overline{PR}$ and $\overline{QS}$ . The length of arc $PS$ is 4 times the length of arc $PQ$ . What is the length of arc $PQ$ ?

A.

$10 π$

B.

$20 π$

C.

$40 π$

D.

$80 π$