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Daniel [21]
3 years ago
15

An arc subtends a central angle measuring 2pi/3

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

We know that angle subtended by whole circumference is 2\pi.

If r is the radius then Length of whole circumference is 2\pi r

2\pi radian has 2\pi r  length

dividing  both side by 2\pi we have

2\pi /2\pi  = 2\pi r/2\pi  \ circumference

1 radian has r length  

1 radian = r length      equation a

=> since we have to find value of circumference for 2\pi /3 we

multiply both side of equation a with 2\pi /3.

2\pi /3 \radian = r* 2\pi /3 \circumference

therefore, length of required arc is 2\pi r/3

________________________________________________

we have to find how much is this as fraction of total  circumference of circle

fraction of circumference = value of arc length / total length of circumference

fraction of circumference = =>(2\pi r/3) / 2\pi r\\=> 1/3

Thus, the given arc is 1/3 of circumference of circle.

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Answer:

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Step-by-step explanation:

we know that

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we have

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substitute

SA=4\pi (14)^{2}

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Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal. Who is correct and why?
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Answer

  • 2.11 is rational number Hannah is correct because it doesn't have 3 dots in the end if it is repeating decimal it will be (2.11.......
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Please give the actual answer if you choose to anwser
zlopas [31]

9514 1404 393

Answer:

  C. 78°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

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Then the measure of angle T is ...

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  ∠T = 78°

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