Question

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

Answer 1

Answer:

Option (D)

Step-by-step 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 = $\frac{\theta}{360}(2\pi r)$

Where θ = central angle = 105°

r = radius of the circle = 6 cm

By substituting these values in the formula,

m(arc AB) = $\frac{105}{360}(2\pi \times 6)$

                = 10.9956

                ≈ 11.0 cm

Therefore, option (D) will be the answer.