Question

What is the length of the arc that subtends a central angle of 139°, for a circle with a radius of 7.5 centimeters? Use 3.14 for π when necessary. A. 14.86 cmB. 18.19 cmC. 16.14 cmD. 12.36 cm

Answer 1

The answer is B. 18.19 cm

To solve this we need to use the formula for the arc lenght.

The formula is:

$Arc=2\pi r(\frac{\theta}{360})$

Where θ is the angle of the arc in degrees.

Now:

$\text{arc}=2\cdot3.14\cdot7.5\cdot(\frac{139º}{360º})=18.1858\approx18.19\operatorname{cm}$

Then, the answer is B.