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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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Arc Length = Radius * Plane Angle Angle must be in radians
can you help me out . i dont understand

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Convert your angle to radians first. Do you know the formula for that?
I'm here for you, it's not as bad as it looks.
no thats the problem
Ok, the conversion for degrees to radians is: \[Angle*\pi/180\]
155*pi/180 ?
Okay, now solve the Arc Length formula for radius
Solve the initial formula for radius: Arc Length = radius * angle
486.9468613 = 2.705260341* 180 ?
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.
i dont understand this at alll
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)
can yu do for me?
R = (14)/(2.705260341)
So R = ?
37.87364477 ?
When I divide 14 by 2.705260341, I'm getting 5.175. Rounded to the nearest tenth, that should be 5.2
oh whoops i accidentally mult instead of divide
so the answer is 5.175102665 ?
Yes, don't forget to round to the nearest tenth though.

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