Answer:
AB = 3π
Step-by-step explanation:
See attachment for correct format of question.
Given
From the attachment, we have that
θ = 20°
Radius, r = 27
Required
Find length of AB
AB is an arc and it's length can be calculated using arc length formula.
[tex]Length = \frac{\theta}{360} * 2\pi r[/tex]
Substitute 20 for θ and 27 for r
[tex]Length = \frac{20}{360} * 2\pi *27[/tex]
[tex]Length = \frac{20 * 2\pi * 27}{360}[/tex]
[tex]Length = \frac{1080 \pi}{360}[/tex]
[tex]Length = 3\pi[/tex]
Hence, the length of arc AB is terms of π is 3π
