What is #(9pi)/8 # radians in degrees?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
2 Answers
Jim G.
Mar 24, 2018

#202.5^@#

Explanation:

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

#color(red)(bar(ul(|color(white)(2/2)color(black)("degrees "="radians "xx180/pi)color(white)(2/2)|)))#

#rArr"degrees "=(9cancel(pi))/8xx180/cancel(pi)=(9xx180)/8=202.5^@#

Sahar Mulla ❤
Mar 24, 2018

#pi# radians#=180^@#

therefore,

#=>(9pi)/8 = 180 xx9/8#

#=>(9pi)/8 = 202.5^@#

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