Question

Find the length of AB.
Round your answer to the nearest hundredth.
8m and 80 degrees

Answer 1

AB ≈ 11.7 m

Explanation:

the length of arc AB is calculated as

AB = circumference of circle × fraction of circle

= 2πr ×
`(80)/(360)`

= 2π × 8 ×
`(8)/(36)`

= 16π ×
`(8)/(36)`

=
`(16\pi (8))/(36)`

≈ 11.17 m ( to the nearest hundredth )