SOLUTION: A circle is divided into 4 arcs of lengths 2,5,6 and x. arc 2 has a measure of 30 degrees. find x A 8 B 9 C 10 D 11

Question 487628: A circle is divided into 4 arcs of lengths 2,5,6 and x. arc 2 has a measure of 30 degrees. find x
A 8
B 9
C 10
D 11
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A circle is divided into 4 arcs of lengths 2,5,6 and x. arc 2 has a measure of 30 degrees. find x
***
arc length=radius*central angle in radians
30�=π/6 radians
2=radius*π/6
radius=12/π
..
Circumference=2π*radius=2π*12/π=24
sum of 4 arcs=24
2+5+6+x=24
13+x=24
x=24-13=11
ans: D 11
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