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3 years ago

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An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the measure of the angle of the sector in degr

ees. Round to the nearest degree. Angle of sector = __________

1 answer:

nadezda [96]3 years ago

4 0

Answer:

Step-by-step explanation:

The formula for arc length in terms of degrees is

$A.L.=\frac{\theta}{360}*2\pi r$ and we have everything we need to fill in to find the angle measure.

$123.53=\frac{\theta}{360}*56\pi$ which is the same as

$123.53=\frac{56\pi \theta}{360}$ and

$360(123.53)=56\pi \theta$ and

$\frac{360(123.53)}{56\pi}=\theta$ so

θ = 253°

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