Question

Find the arc length of the 3/4 of a circle with a radius of 5

Answer 1

Answer:

7.5 pi

Step-by-step explanation:

The formula for arc length of a sector is denoted as

$\frac{x}{360}2\pi r$, where x is the central angle of the sector.

Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.

3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.

$\frac{270}{360}2(5)\pi$

2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi