How do you convert #128.77^o# to radians?

1 Answer
Jul 25, 2016

#128.77^@ ~~ color(green)(2.24746 " radians")#

Explanation:

Suppose #128.77^@# is equivalent to #R# radians

Since #pi" radians" = 180^@#
we know that the ratio #R:128.77# must be the same as the ratio #pi:180#
or written as fractions
#color(white)("XXX")R/128.77 =pi/180#

#rArr R=(pixx128.77)/180#
or, using a calculator:
#color(white)("XX")R~~0.7153bar(8)pi ~~2.24746#