An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal places) is.... 114.59 - right?
An arc of length 30 m : l = 30 m. r = 15 m, ∠ A = ? Formula for the length of an arc is: l = r π A / 180° ( where A is the central angle ) A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 ° This is very close to your result.
