Question

Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.

Answer 1

AB ≈ 2.62 cm

Explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

= 2πr ×
`(15)/(360)`

= 2π × 10 ×
`(1)/(24)`

=
`(20\pi )/(24)`

≈ 2.62 cm ( to the nearest hundredth )