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If the ratio of a circle's sector to its total area is 1/3, what is the measure of
its sector's arc?
A. 120 degrees
B. 250 degrees
C. 180 degrees
O D. None of the above

If The Ratio Of A Circles Sector To Its Total Area Is 13 What Is The Measure Of Its Sectors Arc A 120 Degrees B 250 Degrees C 180 Degrees O D None Of The Above class=

Sagot :

Sreedevi102idn

Answer:

option A:  120°

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta[/tex]

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