2020 · Q53
A road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 42° in distance of 44 m? (Assume π = 22/7)
Elementary MathematicsCircles
- A60 m
- B66 m
- C75 m
- D80 m
Explanation
42 degrees = 42*(22/7)/180 = 11/15 radians. Radius = arc/angle = 44/(11/15) = 60 m - option (A). Check: 60*(11/15) = 44 m of arc, as required.