Question

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

Answer 1

`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`