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Sagot :
Remember that 1 degree=(π180) radians. This means that 106∘=106⋅(π180)≈1.85 radians. Now you can find the length of the arc. To find the length of the arc, multiply the radius (6 in) by the measure of the central angle in radians.
A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.
What is the measure of 1 radian?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.
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