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Impossible Math Question?
in a circle whose circumfrence is 18 cm, find the measure of a central angle of an arc whose length is
2 cm
please just dont tell me the answer i want an explanation on how you did it thanks for the help
2 Answers
- Anonymous1 decade agoFavorite Answer
So if the circumference is 18cm, and the arc length is 2cm, that means the arc is 1/9 of the total circle.
The total degrees of the circle is 360, so 390/9=40
Your central angle measure is 40 degrees
- No BodyLv 410 years ago
arc length = r*theta where
r = radius of circle
theta = angle (in radians)
2 = (9/pi)*theta,
theta = 2*pi/9 radians, which is (2*pi/9)*(180/pi) = 40 degrees
A simpler way would be to note that if the total angle of a circle is 360 degrees, then the angle of the arc is 2/18 = 1/9th of 360, which is 40 degrees.
