Answer: 49.72 feet (approximate to 2 decimal places; using pi = 3.14)
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Explanation:
The distance around the entire circle (also known as the circumference) is found by the formula
C = 2*pi*r
with C being the circumference, pi = 3.14 approximately, and r is the radius. The circumference of this circle is approximately C = 119.32 because C = 2*pi*r = 2*3.14*19 = 119.32
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The arc length is the shaded darker region of the circle's edge marked by the 150 degree central angle. We only want a portion of the entire distance around the circle. So we take a fraction of the circumference to get (150/360)*C = (150/360)*119.32 = 49.71667 = 49.72 which is approximate to two decimal places.
