kash5970 kash5970
  • 20-06-2020
  • Mathematics
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What is the measure of theta

What is the measure of theta class=

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Hrishii
Hrishii Hrishii
  • 20-06-2020

Answer:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]

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