87,697 views
4 votes
4 votes
If the central angle is 3pie/4 and the radius is 13 what's the arc length

User Mannuk
by
3.1k points

1 Answer

18 votes
18 votes

Answer:

The arc length is 9.75 pi units

Explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit

User Lewis Lebentz
by
3.1k points