88.4k views
5 votes
38) If AD = 10, find the arc length of DE.

38) If AD = 10, find the arc length of DE.-example-1
User EvilZebra
by
4.6k points

1 Answer

1 vote

Answer:

23.6 units

Explanation:

If we have a circle of radius R, the perimeter of the arc is given by:

P = 2*pi*R

Now, if we only want to find the length of an arc defined by an angle "a", it will be:

L = (a/2*pi)*2*pi*R = a*R

In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units

And for the arc DE, we have the angle:

a = 2.36 rad

replacing these two in the formula, we get:

L = 2.36*10 units = 23.6 units

User Psuzzi
by
4.9k points