Given the figure of the circle B
the radius of the circle = r = BC = 9
the measure of the angle CBD = 40°
We will find the length of the arc CD
The length of the arc is given by the formula:
[tex]l=\theta\cdot r[/tex]
where: θ is the central angle opposite to the arc measured in radians
so, we will convert the given angle from degree to radian
[tex]\theta=40\cdot\frac{\pi}{180}=\frac{2}{9}\pi[/tex]
Substitute with the given values
so, the length of the arc =
[tex]l=\frac{2}{9}\pi\cdot9=2\pi[/tex]
So, the answer will be:
The length of the arc CD = 2π
