First, we have
s1/r1 = s2/r2
The question also states the fact that
s/2πr = θ/360°
Rearranging the second equation, we have
s/r = 2πθ/360°
Then we substitute it to the first equation
s1/r1 = 2πθ1/360°
s2/r2 = 2πθ2/360°
which is now
2πθ1/360° = 2πθ2/360°
By equating both sides, 2π and 360° will be cancelled, therefore leaving
θ1 = θ2
Answer: J = 14.4 cm
Step-by-step explanation:
<em>K is similar to G</em>
So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K
16.56/9.2 = 1.8
So the sides of the triangle KMJ were multiplied by a factor of 1.8
to find m :
25.92/1.8 = 14.4
J = 14.4