Question

Two similar circles are shown. The circumference of the

Answer 1

Answer:

Answer: The second objective

Step-by-step explanation:

Radius of big circle = x units

Radius of small circle, OA = ⅓x units

${ \rm{circumference =2 \pi {r}^{} }} \\ \\ { \rm{c = 2\pi {( \frac{1}{3}x) }^{} }} \\ \\ { \rm{c = [\frac{2\pi {}^{} }{3} ] x\: \: units}}$

Answer 2

The circumference of the smaller circle is $[\frac{2\pi}{3} ]x \ units$.

The given parameters:

• Radius of the larger circle = x
• Radius of the smaller circle = ¹/₃ x

The circumference of the smaller circle is calculated as follows;

$C = 2\pi r\\\\C = 2\pi (\frac{x}{3} )\\\\C = [\frac{2\pi}{3} ]x \ units$

Thus, the circumference of the smaller circle is $[\frac{2\pi}{3} ]x \ units$.

Learn more about circumference of circle here: brainly.com/question/9782777