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Neko [114]
3 years ago
6

A circle has a circumfernce of 13 it has a arc length of 11. What is the central angle of the arc in degrees

Mathematics
1 answer:
tatiyna3 years ago
5 0

Answer: 304.6°

Step-by-step explanation:

First of all, using the circumference of the circle formula to find the radius of the circle.

Circumference of the circle = 13, ie

2πr = 13,

r = 13/2π ---------------------------- 1

Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.

Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so

πr0°/180 = 11 ------------------------ 2

Now solve for 0°, the central angle of the angle by making it the subject of the formula.

πr0° = 180 x 11

0° = 180 x 11

----------- ----------------- 3

πr

Now, put equation 1 in equation 3 and solve.

0° = 1980

--------

π x 13/2π

= 1980 x 2π

-----------

π.x. 13

= 1980 x 2

----------

13

= 3960/13

= 304.6°

Therefore, the central angle of the arc is 304.6°

Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.

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What is 4 1/5 - 1 4/5 =
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Answer:

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Step-by-step explanation:

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Find the derivative of f(x) = 8x^2 + 11x at x = 7.
sleet_krkn [62]
Thank you for posting your question here at brainly. Feel free to ask more questions.  

f′(x)=2∗(8x(2−1))+1∗11x(1−1)

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then let x = 7 gives us

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      <span>
<span>Hope my answer would be a great help for you. </span> </span>  

<span> </span>

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