MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

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] Β Β β[tex]10=2\times3.14\times r[/tex] Β Β Β Β (Ο = 3.14)β[tex]10=6.28\times r[/tex]by dividing both sides by 6.28 we get:β[tex]\frac{10}{6.28} =r[/tex]β[tex]1.59=r[/tex]β[tex]r=1.6[/tex].Therefore, the radius of the smaller circle is 2 (approximately).