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inysia [295]
3 years ago
11

Please help me.......

Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

57\frac{3}{11} = c

or

57.\overline{27} = c

Step-by-step explanation:

We know that the diameter of a circle multiplied by \pi is the circumference, so we can create this equation:

180 = c * \pi

Your teacher told us to assume \pi is 22/7, so we'll put that in

180 = c * \frac{22}{7\\}

To get c by itself, we divide both sides by 22/7

\frac{180}{\frac{22}{7}} = c

Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22

180 * \frac{7}{22} = c

Evaluate

\frac{1260}{22} = c

57\frac{3}{11} = c

If you want a decimal instead:

57.\overline{27} = c

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-------------------------------\\\\

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\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
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