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 Consider circle H with a 3 centimeter radius. If the length of minor arc RT is 2/3π, what is the measure of ∠RST?

 Feb 21, 2019
 #1
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The circumference of the whole circle =  2pi * 3 = 6 pi cm

 

So

 

2/3 pi / 6pi =     measure of angle RHT / 360

 

2/18 = 1/9 =  measure of angle RHT /360

 

360 (1/9) =  measure of angle RHT

 

40° =   measure of angle RHT

 

And angle RST is an inscribed angle = 1/2 RHT  =  20°

 

 

cool cool cool

 Feb 21, 2019

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