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Nataly [62]
3 years ago
15

A circle has a radius of 5 meter. What is the length of the arc that is captured by a central angle that measures 120 degrees? R

ound your answer to the nearest tenth.
a) 3.33 meters
b) 31.42 meters
c) 10.47 meters
d) 2.09 meters

Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0
Well, the formula for the length of an arc is;
<u>  n⁰  </u>   × 2πr<u>
</u>360
<u></u>   Where; n⁰ is the angle
               π is pie, which is 22/7 or 3.143 approximately
                and r is the radius
  
  Anyway, according to the question;
n⁰ is 120⁰
and r is 5 meters. And as you know, the pie is 22/7. So that will be

120⁰/360 x 2 x 22/7 x 5
 And that will give you 10.47metres. Which is approximately 11 metres. Hope i helped, have a nice day 
Irina-Kira [14]3 years ago
3 0
I'd solved the question in attachment. Please watch out the pic..

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