Question

What is the length of Arc AB if the radius of a circle is 6 cm​

Answer 1

Option (D)

Explanation:

Length of arc AB in a circle O = 105°

Radius (AO) of the circle = 6 cm

Since, measure of an arc = central angle formed by the arc

Length of arc =
`(\theta)/(360)(2\pi r)`

Where θ = central angle = 105°

r = radius of the circle = 6 cm

By substituting these values in the formula,

m(arc AB) =
`(105)/(360)(2\pi * 6)`

= 10.9956

≈ 11.0 cm

Therefore, option (D) will be the answer.