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EastWind [94]
3 years ago
8

What is the area of the circle shown below?

Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Answer:

201.06

Step-by-step explanation:

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An amusement park has discovered that the brace that provides stability to the ferris
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Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}

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\theta = \frac{70.625}{\pi}  \times \frac{\pi}{180}\\\\\theta = 0.39236 radian  

Now we calculate the length of arc by arc formula  

\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I  = 4.708 feet.  

So, The length of steel that must be replaced is 4.708 ft.  

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