Similarity in Circles help?

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Answer 1 · 2018-04-09T04:06:37

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Choice 2

**In its simplest form, the Scale Factor is ** $\frac{5}{2}$ $5/2$

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We are given two circles.

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

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

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

Scale Factor = New radius/Original radius

$\Rightarrow \frac{15}{6}$ $rArr 15/6$

As product of two factors.

$\Rightarrow \frac{5 \cdot 3}{2 \cdot 3}$ $rArr (5*3)/(2*3)$

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

Hence the required scale factor: $5/2$

Hope you find this solution useful.