Question

An arc of length 12:57 cm

angle of 60° at the cen me
find the radius or the circle.
subrends an.
or a cordle.

Answer 1

r ≈ 12 cm

Explanation:

arc length = circumference × fraction of circle, that is

2πr ×
`(60)/(360)` = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r =
`(4525.2)/(120\pi )` ≈ 12 cm