Question

Inthe diagram what is the approximate length of minor arc XY ?

Answer 1

`arc \ length= \pi r ( (C)/(180) ) \ \ \ \ [C= central \ angle, \ r=radius, \pi =3.14] \\ \\ arcXY=3.14*23 *(120)/(180) \approx 48 \ cm`

Answer 2

Option A, 48°

Explanation:

In the given circle radius = 23 cm

and angle inscribed at the center = 120°

By definition of length of arc XY = rθ

m(arc xy) =
`(23* 120\Pi )/(180)`

`(23* 2(3.14))/(3)`

= 48.15° ≈ 48°

Option A is the answer.