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°