Answer:
B. 6.3 cm
Step by step explanation:
We have been given measure of central angle which intercepts to our minor arc XY.
Since we know that the formula to find measure of arc length is:
[tex]\text{Arc length}=\frac{\theta}{360}\times \text{circumference of circle}[/tex]
[tex]\text{Arc length}=\frac{\theta}{360}\times {2\pi r}[/tex]
Now let us substitute our given values in above formula.
[tex]\theta=40^{o}[/tex] and [tex]radius=9 cm[/tex]
[tex]\text{Arc length}=\frac{40}{360}\times {2\pi \cdot 9}[/tex]
[tex]\text{Arc length}=\frac{1}{9}\times {2\pi \cdot 9}[/tex]
[tex]\text{Arc length}=2 \pi [/tex]
[tex]\text{Arc length}=6.2831853071795865\approx 6.3[/tex]
Therefore, length of minor arc XY is 6.3 cm and option B is the correct choice.
