Question

Point P is the center of two concentric circles. PQ = 4.2 and PS = 8.2. RS is tangent to the smaller circle and a chord of the larger circle. What is length of RS to the nearest tenth?

12.2
8.1
16.4
14.1

Answer 1

nope

Answer 2

Segment PQ is perpendicular to segment RS because a radius drawn to a tangent to a circle is perpendicular to the tangent at the point of tangency.

That creates a right triangle and thoughts of the Pythagorean Theorem come to mind.

Answer 3

i got B

Answer 4

@ehmuleeee If you use the Pythagorean Theorem to find QS, then we have one more theorem to apply.

Answer 5

@evilmath

Code of conduct: OpenStudy values the Learning process - not the ‘Give you an answer’ process Don’t post only answers - guide the asker to a solution.

http://openstudy.com/code-of-conduct

Answer 6

@ehmuleeee

I'm asking you to solve this:

(8.2) ^2 = (4.2)^2 + x^2 where x = QS.

Answer 7

67.24=17.64+ x^2

Answer 8

Right.

67.24=17.64+ x^2

x^2 = 67.24 - 17. 64

x^2 = ? @ehmuleeee

Answer 9

49.6

Answer 10

x^2 = 49.6

x = positive square root of 49.6

x = ? @ehmuleeee

Answer 11

7.04

Answer 12

Yes.
If a diameter is perpendicular to a chord, it bisects the chord and its arcs.
Check out the attached diagram.

So, RS = QS = 2* 7.04 = ? @ehmuleeee

Answer 13

14.1!

Answer 14

Correct. Note that the correct answer is not the one @evilmath threw out and left without explanation.

Answer 15

thank you :)

Answer 16

to both of you.

Answer 17

i appreciate your time & effort

Answer 18

You are welcome.