Question

I have to methods of doing these and neither are right.

2π(27)=169.64
Angle AB =20°
20/360=x/100
360x=2000
/360 /360
X= 5.55 %

169.64 • 5.55
/100
=9.4

Or

2πr•20/360
2π • 27 • 1/8
54 • 1/8
= 6.75 π

Neither answer is correct I guess..

Answer 1

3π

Explanation:

Your first answer is correct, but it is not in terms of pi.

20 / 360 = x / (2π • 27)

20 / 360 = x / (54π)

360 x = 1080π

x = 3π ≈ 9.4

Your second method is correct, but you accidentally wrote 1/8 instead of 1/18 when you simplified 20/360.

2π • 27 • 20/360

2π • 27 • 1/18

54π • 1/18

3π

Answer 2

arc length AB = 3π

Explanation:

arc angle = 20°

which represents 20/360 of the circumference

arc length = (20/360) x 2πr

= (20/360) x 2 x π x 27

= 3π