Thread: [SOLVED] Tangent?

Sorry for the really sloppy graph. They are suppose to be two circles, it's just that I don't know how to draw circles with my graph sketcher.

Note: Figure not drawn to scale

This is on page 839 of the OG Book.

In the figure below, the two circles are tangent (what is a tangent?) at point B and AC=6. If the circumstances of the circle with center A is twice the circumference of the circle with center C, what is the length of line segment BC?

a) 1
b)2
c)3
d)4
e)6

Any tips?

Thanks in advance

Originally Posted by fabxx

Sorry for the really sloppy graph. They are suppose to be two circles, it's just that I don't know how to draw circles with my graph sketcher.

Note: Figure not drawn to scale

This is on page 839 of the OG Book.

In the figure below, the two circles are tangent (what is a tangent?) The 2 circles have exactly one point in common at point B and AC=6. If the circumstances of the circle with center A is twice the circumference of the circle with center C, what is the length of line segment BC?

a) 1
b)2
c)3
d)4
e)6

Any tips?

Thanks in advance

Circles are similar to each other. The ratio of the circumferences is equal to the ratio of the radii. Therefore the radius at A is twice as long as the radius at C.
Therefore the radius at C = BC must be 2, the other one is 4.