Question

A circle is shown belowIf FM=11, MG=3, and PM=2, What is the measure of PQ?A. 16.5B. 18.5C. 7.3D.9.3

Answer 1

To solve this question we need to remember the thales theorem, then:

`(PQ)/(PM)=(GF)/(MG)`

But we can see from the image that GF= MG+FM, then

`(PQ)/(PM)=(MG+FM)/(MG)`

then we can replace the known numbers in the previous expression:

`(PQ)/(2)=(3+11)/(3)`
`PQ=(2(14))/(3)=(28)/(3)=9.3`