ericawil19
contestada

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?
VX
ox un
(units
O
(31 x units
0 27tx units
A
B
0671x units

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 class=

Respuesta :

Answer:

Answer: The second objective

Step-by-step explanation:

Radius of big circle = x units

Radius of small circle, OA = ⅓x units

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

onyebuchinnaji

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

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;

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

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

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

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