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erastova [34]
3 years ago
11

Find the area of the circle. Use your calculator's value of π. Round your answer to the nearest tenth. A) 27.6 yd2 B) 283.5 yd2

C) 243.3 yd2 D) 289.5 yd2

Mathematics
1 answer:
yan [13]3 years ago
6 0
<h2>Answer:</h2>

s \approx 282.20ft^2

<h2>Step-by-step explanation:</h2>

A circle is a curve made up of all the points that are the same distance from the center. In this problem, we are asked to find the area of the sector. A sector is a region of a circle between two radii. Suppose you have a central angle \theta degrees, the sector can be found as:

s=\frac{\theta}{360}\times\pi r^{2}

We know:

r=14ft \\ \\ \theta=165^{\circ}

So:

s=\frac{165^{\circ}}{360^{\circ}}\times\pi (14^{2}) \\ \\ s=\frac{11}{24}\times (196\pi) \\ \\ s=\frac{539}{6}\pi \approx 282.20ft^2

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