Similarity in Circles help?

Question

1149 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-09T04:06:37

#" "#

Choice 2

In its simplest form, the Scale Factor is #5/2#

#" "#

We are given two circles.

(1) Circle 1: Center #(-9,-5)# with radius #6#

(2) Circle 2: Center #(-7,-7)# with radius #15#

enter image source here

We can use the following formula, to solve this question.

Scale Factor = New radius/Original radius

#rArr 15/6#

As product of two factors.

#rArr (5*3)/(2*3)#

#rArr (5*cancel 3)/(2*cancel 3)#

Hence the required scale factor: #5/2#

Hope you find this solution useful.