Answer:
The radius of the smaller circle is 2 (approximately).
Step-by-step explanation:
Given:
Circumference of larger circle is 30, and circumference of smaller circle is one third of that.
So, to get the radius of the smaller circle, let us calculate its circumference.
[tex]\frac{1}{3} \times30[/tex]
[tex]=\frac{30}{3}[/tex]
[tex]=10[/tex].
Now, putting the formula of circumference(c) to find the radius(r):
[tex]c=2\pi r[/tex]
⇒[tex]10=2\times3.14\times r[/tex] (π = 3.14)
⇒[tex]10=6.28\times r[/tex]
by dividing both sides by 6.28 we get:
⇒[tex]\frac{10}{6.28} =r[/tex]
⇒[tex]1.59=r[/tex]
⇒[tex]r=1.6[/tex].
Therefore, the radius of the smaller circle is 2 (approximately).
