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Mathematics 22 Online
OpenStudy (96mertcank96):

Int he accompanying diagram of circle O, the measure of ARC RS is 64 degrees what is m < RST?

OpenStudy (96mertcank96):

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OpenStudy (wolf1728):

arc length = radius * central angle (in radians) RTS is an inscribed angle angle O is the central angle Angle RTS is exactly 1/2 of the central angle. The problem starts that the LENGTH of arc RS is 64 degrees. Shouldn't a length be stated in linear measure and not in angular measure? Due to the 64 degree arc, I can't work anymore on this problem/

OpenStudy (96mertcank96):

is the answer 16?

OpenStudy (96mertcank96):

@Hero can you help me out here>

OpenStudy (96mertcank96):

@ganeshie8

hero (hero):

Does it mention whether chords RT = ST ?

OpenStudy (96mertcank96):

nope

hero (hero):

Are there any tic marks through RT and ST?

OpenStudy (96mertcank96):

nope i showed everything thats on the question

hero (hero):

You can at least find the length of arc STR arc STR = 360 - 64 = 360 - 60 - 4 = 300 - 4 = 296

OpenStudy (96mertcank96):

what can i do from there?

hero (hero):

If we assume RS = ST, then arc TS = 296/2

OpenStudy (96mertcank96):

would you consider rts to be centered?

hero (hero):

so arc TS = 148 arc RST = 148 + 64

hero (hero):

O is the center

hero (hero):

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