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) Arc length (l) = 36 inches

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

Step(i):-

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

Arc length (l) = r θ

l = 20 × 1.8 radians

l = 36

The length of arc = 36 inches

we will convert radians to degree

1.8 × 180° / π = 324° / π ≅ 103.18°

The nearest angle in degrees θ = 103.18°

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