Question

An arc subtends a central angle measuring \dfrac{7\pi}{4}

4
7π
​
start fraction, 7, pi, divided by, 4, end fractionradians.


What fraction of the circumference is this arc?

Answer 1

I don’t really know this one sorry for this

Answer 2

It is 7/8 of the circumference

Explanation:

The formula to solve this equation is arc length ÷ 2πr

So when you plug 7π/4(radii) over 2πr, the π cancels out, and so does the r variable.

You are left with 7/4 · 1/2 which further simplifies to 7/8

Therefore the arc is 7/8 of the circumference.