A circle has a central angle measuring 3pi/4 radians that intersects an arc of length 45 in. So, the length of the radius of the circle is 19.1 in.
Radius is defined as twice the length of the diameter of the circle.
A circle has a Central angle = 3π / 4 radians
So, Length of the arc = (3 π / 4) (radius)
= 45 in
Radius = 45 in x 4 / (3π)
Radius = 45 x 4 / (3 x 3.14) in
Radius = 19.1 in
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