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s344n2d4d5 [400]
3 years ago
12

A circle has a radius of 7cm . find the radian measure of the central angle ? that intercepts an arc of length 16cm .

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0
S=rtheta
theta=s/r
16/7=2.2857
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Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

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But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

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x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

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Step-by-step explanation:

<h2>i hope this help you</h2>
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Two times the difference of x and seven plus ten

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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