Question

for a circle of radius 9 feet find the arc length subtended by a central angle of 52 degrees.

Answer 1

Finding the length of the arc?

Answer 2

8.16

Answer 3

right?

Answer 4

Hmm, I got 7.7. What steps did you take?

Answer 5

im not sure

Answer 6

Steps I took:
1: Find the entire circumference
C=pi*D=2*pi*r = 56.548
2: Find the fraction covered:
There are 360° in a circle, and the arc substends 52°, which would be (52/360) times the entire circumference
3: Multiply 56.548*(52/360) = 8.168

You we're right, guess I typed it in wrong the first time. Sorry.

Answer 7

yea thats what i did

Answer 8

then what do i do?

Answer 9

8.168 is the answer for the length of that section. Is that what you're looking for?

Answer 10

well my options are 13/5 pi, 11/5 pi, 13/11 pi or 5/11pi

Answer 11

Ah, so what we do is go back to our circimference and leave it in terms of pi:
C=18(pi)

Now, multiply that by 52/360 to get 13/5 pi

Answer 12

oooh ok thank you !