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3 years ago

A central angle measuring 120° intercepts an arc in a circle whose radius is 3.

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

Answer:

6.28

Step-by-step explanation:

The length of arc which subtends an angle $\alpha$ at the center of a circle is given by $\alpha r$ where r is the radius of circle.

______________________________

given

the central angle of arc is 120°

$\pi = 180\\120 = (\pi /180)* 120\\120 = 2/3\pi$

we will use value of $\pi$ as 3.14

r = 3

Length of this arc is

$2/3( \pi *3) = 2\pi \\=2*3.14 = 6.28$

The length of the arc to the nearest hundredth of unit is 6.28

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3 years ago

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Read 2 more answers

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