A larger circle has a circumference of 30. A smaller circle has a circumference of one third of that. Find the radius of the smaller circle.

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).