Question

The circumference of the circle is 23 meters. Find the length of arc ab

Answer 1

possible answers


A. 7.99 centimeters
B. 7.99 meters
C. 79.9 meters

Answer 2

Wait i'm gonna answer you in a minute

Answer 3

\[C=2\pi r\]\[C_{arc}=2\left({\theta\over360}\right)\pi r\]

Answer 4

\[C=2\pi r\]\[C=23\]\[23=2\pi r\]\[C_{arc}=23\left({125\over360}\right)\]

Answer 5

@mxolisi3903 that's not the correct way

Answer 6

@lujanels1 , work out what i just said, you should and will get the right answer

Answer 7

Okay first of all you need to remember that the circumference of a circle has the equation
\[C = 2\pi r\]
but we already know what C is and so if we want we can make the unknown the subject of the formula
\[r=\frac{ C }{2 \pi }\]

and substitute C=23m and we should get to an answer of
r=\[\frac{ 23 }{ 2 \pi }\]=3.66m

and so we can use our famous formula that i'm sure you are familiar with
\[\theta =\frac{ ab }{ r } \]
where ab is the arc length and r is the radius calculated above and so we have
ab=θ×r=2.181×3.66=7.98m
I beg your pardon I forgot to convert 125 to radians which can be done as for follows
\[125 \times \frac{ \pi }{ 180 }\]