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anonymous
 4 years ago
If arc AB measures 155°, what is the length of the radius of the circle, to the nearest hundredth? drawing pic now.
anonymous
 4 years ago
If arc AB measures 155°, what is the length of the radius of the circle, to the nearest hundredth? drawing pic now.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342078364411:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Arc Length = Radius * Plane Angle Angle must be in radians

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you help me out . i dont understand

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Convert your angle to radians first. Do you know the formula for that?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm here for you, it's not as bad as it looks.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ok, the conversion for degrees to radians is: \[Angle*\pi/180\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay, now solve the Arc Length formula for radius

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Solve the initial formula for radius: Arc Length = radius * angle

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0486.9468613 = 2.705260341* 180 ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Hold 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
 4 years ago
Best ResponseYou've already chosen the best response.0i dont understand this at alll

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Let'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
 4 years ago
Best ResponseYou've already chosen the best response.0R = (14)/(2.705260341)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0When I divide 14 by 2.705260341, I'm getting 5.175. Rounded to the nearest tenth, that should be 5.2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh whoops i accidentally mult instead of divide

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so the answer is 5.175102665 ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, don't forget to round to the nearest tenth though.
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