How do you convert 40 degrees into radians?

2 Answers
Jul 9, 2018

#2/9pi# rad

Explanation:

When we covert degrees into radians, we use the conversion factor

#pi/180#

Notice that what we want, radians, is in the numerator. We multiply this by #40# degrees to get

#(40pi)/180=(2cancel(40)pi)/(9cancel(180))#

#=>2/9pi# rad

Hope this helps!

Jul 9, 2018

#(2pi)/9#

Explanation:

#"to convert from "color(blue)"degrees to radians"#

#color(red)(bar(ul(|color(white)(2/2)color(black)("radian measure "=" degree measure "xxpi/180)color(white)(2/2)|)))#

#"radian "=cancel(40)^2xxpi/cancel(180)^9=(2pi)/9#