OpenStudy (anonymous):

Find the m arc GE

OpenStudy (anonymous):
OpenStudy (anonymous):

answers : 40 70 120 80 I got 120

OpenStudy (anonymous):

how large is angle GRF?

OpenStudy (anonymous):

180 ?

OpenStudy (anonymous):

130. 180 would be half the circle. the interior angles should add to 360

OpenStudy (anonymous):

ohhh. so add all the angles? then subtract or how do I get my answer?

OpenStudy (directrix):

Arc GE has measure 120.

OpenStudy (anonymous):

one way is to see that the arc length represents the same fraction of the circumference as the angle does to 360. so the arc length is 130/360 times the circumference

OpenStudy (anonymous):

so it is one 120 ?

OpenStudy (anonymous):

ohhh

OpenStudy (directrix):

The measure of a central angle of a circle and the measure of the arc cut off by that central angle are equal. See diagram. The Arc Addition Postulate was used to add 80 and 40 to get 120 for arc GE.

OpenStudy (anonymous):

my bad. i misread the question. i thought it asked for arc GF. directrix is right

OpenStudy (anonymous):

its alright euler271 ! and thank you both (: