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OCR: Problem 10. a. Find the length to three significant digits of 1 parsec in terms of AU, km, and light-years. Solution: If 0 is in radians, we have arc length = r 8, where r is the distance expressed in the same units as the arc length. In this case, arc length= radius of Earth's orbit = 1 AU. 8 = 1 second = _ 1_ TT radians 3600 degree = 1 degree x 3600 180 degrees Since we want three significant digits in our answer, let us use IT = 3.142 in this computation: 3.142 3600x180 -rad = 4.85 x 10-6 (We have omitted rad , since the radian is really dimensionless. See Problem 2, this section.) (Problem 10. continued next card.)