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…

Question

asked Feb 3, 2023 86.6k views

1 Answer

Ratnesh · Answer 1 · 2023-02-06T20:20:12+0000

The answer is B. 18.19 cm

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

The formula is:

$Arc=2\pi r((\theta)/(360))$

Where θ is the angle of the arc in degrees.

Now:

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

Then, the answer is B.