Answer: The length of the major arc is (29/6)π or 4.83π
Step-by-step explanation: The circle with center K has an arc with a radius of 3 yards and an angle subtended at the center which measures 70 degrees.
Therefore the major arc LNM would have its central angle measured as follows;
Angle ∅ = 360 - 70 (Sum of angles on a point equals 360)
Angle ∅ = 290
The calculation for the length of an arc is given as;
Length of arc = (∅/360) x 2πr
Where ∅ = 290, and r = 3, the length of the major arc becomes;
Length of arc = (290/360) x 2 x π x 3
Length of arc = (29/36) x 6π
Length of arc = (29 x π x 6)/36
Length of arc = 29π/6
This can equally be expressed as (29/6)π or 4.83π
**Note that answer has been expressed in terms of π**
