Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = [tex]\frac{x}{3}[/tex]
Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units
= [tex]\frac{2\pi x}{3}[/tex] units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
