Question

In the diagram below what is the approximate length of the minor arc XY

Answer 1

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:

$\text{Arc length}=\frac{\theta}{360}\times \text{circumference of circle}$

$\text{Arc length}=\frac{\theta}{360}\times {2\pi r}$  

Now let us substitute our given values in above formula.

$\theta=40^{o}$ and $radius=9 cm$

$\text{Arc length}=\frac{40}{360}\times {2\pi \cdot 9}$

$\text{Arc length}=\frac{1}{9}\times {2\pi \cdot 9}$

$\text{Arc length}=2 \pi$

$\text{Arc length}=6.2831853071795865\approx 6.3$

Therefore, length of minor arc XY is 6.3 cm and option B is the correct choice.

Answer 2

The answer is B.

The formula for arc length is s = r(theta) Theta must be in radians, so convert 40 degrees to radians, which is 2pi/9. Multiply 2pi/9 by the radius, 9, and then you'll get the answer. Hopes this helps!