Question

Point P is the center of two concentric circles. PQ = 2.5 and PS = 5. RS is tangent to the smaller circle and a chord of the larger circle. What is length of RS to the nearest tenth?

Answer 1

please help @ybarrap

Answer 2

@katherine.ok

Answer 3

angle PQS = 90degrees.

Answer 4

yes but im trying to find the length of RS

Answer 5

you know that PQ=2.5 , PS=5

Answer 6

Looking at a triangle PQS (a right triangle indeed) you can get QS

Answer 7

hmm i dont understand

Answer 8

and because the smaller circle and the larger circle share the same centre, assumeQS=RQ

Answer 9

(PS)^2= (PQ)^2+(QS)^2, get QS from this pythagorean theorem.

Answer 10

once you get QS, you know that RQ is of same length therefore total length of that RS is 2* QS.