A person riding a circular Ferris wheel sits 65 feet from the center. If they travel a distance of 92 feet during an initial rotation, then what radian angle did they rotate through? Round your answer to the nearest hundredth.
we know that the radius is 65 ft circumference of a circle=2*pi*r for r=65 ft circumference of a circle=2*pi*65-----> 130*pi ft
if 2*pi (full circle) has a length of----------------> 130*pi ft x------------------------------------------> 92 ft x=92*2*pi/(130*pi)----------> x=1.4154 radians-------> x=1.42 radians