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SOVA2 [1]
3 years ago
14

Finding area of a sector

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0
The smaller sector is 360-255=105 degree
it is 105/360 portion of the whole circle, and the area of the whole circle is πr², r is 14
so the area of the smaller sector is (105/360)*π*14²
run those numbers through your calculator, use 3.14 for π, you get 179.5

if you are looking for area of the larger sector, it would be
(255/360)*π*14²=435.94
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Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

   a) sin Ф = \frac{opposite side}{hypotenuse}

      Ф = 60°

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     hypotenuse = \frac{opposite side}{sin \alpha }

     hypotenuse = \frac{15}{sin 60}

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     b) cosФ = \frac{y}{hypotenuse}

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         y = 17.32 x 0.5

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Step-by-step explanation:

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