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Circle A has a radius of 8 cm.
To the nearest hundredth, what is the length (not in degrees) of arc RC?

 

 
  

Question options:

9.77 cm

19.54 cm

78.15 cm

6.22 cm

 Jun 5, 2018
 #1
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IF RAM is a diameter, then  ANGLE RAC   is 180 degrees - 40 = 120 degrees.

 

The TOTAL circumference of the 360 degree circle is  pi x d     =  pi x 2 r = pi x 2 x 8

The fraction of this total circumference is  140 degrees oout of 360 degrees  or   140/360 of the entire circumference

 

Thi.s equals    (140/360 )  *  pi * 2 * 8 = 19.55 cm

 Jun 5, 2018

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