Convert 1035 degrees into radians. Give EXACT answer in simplest form?

Answer 1

1035° × π / 180°

= 5.75π rad

= 18.064157758 rad

Source(s): https://www.rapidtables.com/convert/number/degrees...

Answer 2

Conversion factor

180º = π radians

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ϴ = 1035º * (π radians / 180º)

ϴ = 5.75π radians <–––––

Answer 3

Divide degrees  by 360, to get circles.  Multiply circles by 2 pi, to get radians.

(1035 / 360 ) * 2 pi = ___ ?

Answer 4

There are 180° in π radians.  You can set up two ratios, one with this known fact and the other with your known number of degrees with an unknown number of radians and set them equal making a proportion:

180 / π = 1035 / x

solve for x:

180x = 1035π

x = (1035/180)π

x = (23/4)π radians

Answer 5

1035º x 2π rad/360º = 5.75π rad