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Len [333]
2 years ago
12

A circle has a radius of 3 cm. How does the circumference of the circle compare to the area? Drag and drop a phrase to correctly

complete the sentence.
Mathematics
1 answer:
Lilit [14]2 years ago
3 0
The circumference is about 3.14 (\pi) times bigger than twice the radius.  Mathematically, this can be writted as C = 2 \pi r, where C equals the circumference and r equals the radius, or C = \pi d where C equals the circumference and d equals the radius.  
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If sine ⁡theta equals negative 8/17 and the terminal side of theta lies in quadrant IV, find cosine ⁡ theta .
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\sin^2\theta+\cos^2\theta=1\implies \cos\theta=\pm\sqrt{1-\sin^2\theta}

Since \sin\theta=-\dfrac8{17}, it follows that

\cos\theta=\pm\sqrt{1-\dfrac{64}{289}}=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so

\cos\theta=\dfrac{15}{17}
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