In a circle with radius 0.8, an angle measuring 6.3 radians intercepts an arc. Find the length of the arc to the nearest 10th.

2.52 units

Step-by-step explanation:

2pi(0.8) x (6.3/2pi) = 2.52

portion of the circumference (2pi(r)) times the intercepted arc.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)