Question

Three circles with centers A,B and C are externally tangent to each other. Lines EG and DG are tangent to circle C at points F and D and Intersect at point G. If each circle has a diameter of 6 inches, find the length of DG and the area enclosed by lines FG and GD and arc FD.

Answer 1

please can you draw the situation described in your problem?

Answer 2

of course.

Answer 3

ok! try please

Answer 4

ok! I try

Answer 5

@Jhannybean

Answer 6

please, verify that measure(EF)=
\[EF=6\sqrt{6}\]
I got that value

Answer 7

how did you get that value?

Answer 8

because the triangle ECF is a right triangle since <EFC is a right angle

Answer 9

oh yeah, right

Answer 10

what's next?

Answer 11

I'm reflecting...