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ASHA 777 [7]
3 years ago
11

How much greater is the area of a square with a side length of 9 inches than the area of a circle with a radius of 3 inches?

Mathematics
1 answer:
fredd [130]3 years ago
7 0
The area of the square is 81 sq in, and the area of the circule is (3.14)(3 in)^2, or approx 3.14(9) sq in, or approx  28.27 sq in.

Subtract:  81 sq in - 28.27 sq in = approx. 52.73 sq in.

The difference is 52.73 sq in; the square is larger, the circle smaller.
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By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

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\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }

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By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

To learn more on trigonometric functions: brainly.com/question/15706158

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