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ELEN [110]
3 years ago
8

An arc has a central angle of 1.8 radians and a radius of 20

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

a) <em>Arc  length (l) = 36 inches</em>

b)

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

<u><em>Step(i):</em></u>-

An arc has a central angle of 1.8 radians and a radius of 20  inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

<em> Arc  length (l) = r θ </em>

<em>                  l = 20 × 1.8 radians</em>

<em>               l  = 36</em>

The length of arc = 36 inches

b)

<em>we will convert radians to degree</em>

<em> 1.8 × 180° / π =  324° / π ≅ 103.18°</em>

The nearest angle in degrees θ = 103.18°

                           

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