The question, as it appears cannot be answered because there is no information as to what or where AB is. It would seem this is because the questioner did not think it relevant to mention that ABC and RSC are similar triangles. If they are not, then from the information that is given, the question remains unanswerable. However, if they are similar, then AB = 25.
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90 degrees in a right angle
90 degrees in a right angle
To work out the length of the arc on a circle, you need to work out the proportion of the full circle that the arc represents. This is the proportion of the circumference of the circle. The circumference of a circle is 2 times pi times radius or 2{pi}r A full circle has 360o so an arc created between 2 radii with an angle of ao between them has a length that is a/360 that of the full circle, ie length of arc = 2{pi}ra/360 Thus, for a circle of radius r=5yds and angle=72o, the length of the arc is: 2x{pi}x5x72/360 = 2x{pi}x5x1/5 = 2x{pi} ~= 6.28yds