anonymous
  • anonymous
If arc AB measures 155°, what is the length of the radius of the circle, to the nearest hundredth? drawing pic now.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1342078364411:dw|
anonymous
  • anonymous
Arc Length = Radius * Plane Angle Angle must be in radians
anonymous
  • anonymous
can you help me out . i dont understand

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anonymous
  • anonymous
-.-
anonymous
  • anonymous
Convert your angle to radians first. Do you know the formula for that?
anonymous
  • anonymous
I'm here for you, it's not as bad as it looks.
anonymous
  • anonymous
no thats the problem
anonymous
  • anonymous
Ok, the conversion for degrees to radians is: \[Angle*\pi/180\]
anonymous
  • anonymous
155*pi/180 ?
anonymous
  • anonymous
Correct.
anonymous
  • anonymous
2.705260341
anonymous
  • anonymous
Okay, now solve the Arc Length formula for radius
anonymous
  • anonymous
?
anonymous
  • anonymous
Solve the initial formula for radius: Arc Length = radius * angle
anonymous
  • anonymous
486.9468613 = 2.705260341* 180 ?
anonymous
  • anonymous
Hold on, I think you're a little confused still. We know the Arc Length: That was given in your drawing as 14cm We know the angle (that you converted to radians) as 2.705260341 What we're looking for is the radius of the circle that fits those conditions. We can use the formula that I have you to find any single piece of the info that we're missing if we're given the other two.
anonymous
  • anonymous
i dont understand this at alll
anonymous
  • anonymous
Let's call the Arc Length S and the Radius R and the Angle A. So: S=RA Divide through by A to get: S/A = R So the radius of the circle (R) is equal to the arc length (S) divided by the Angle in radians (A)
anonymous
  • anonymous
can yu do for me?
anonymous
  • anonymous
R = (14)/(2.705260341)
anonymous
  • anonymous
So R = ?
anonymous
  • anonymous
37.87364477 ?
anonymous
  • anonymous
When I divide 14 by 2.705260341, I'm getting 5.175. Rounded to the nearest tenth, that should be 5.2
anonymous
  • anonymous
oh whoops i accidentally mult instead of divide
anonymous
  • anonymous
so the answer is 5.175102665 ?
anonymous
  • anonymous
Yes, don't forget to round to the nearest tenth though.

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