I think the length referred to here is the arc length. For convenience, let us just proceed to the derived formulas for circular geometry. The formula for arc length, S, is
S = (n/360)(Perimeter)
The variable n is the measure of the central angle that intercepts the arc. In this case, n = 98°. The perimeter of the circle is equal to 2πr. Substituting the values,
S = (98°/360°)(2×π× 6 cm)
S = 10.26 cm
There is also a formula that is easier to remember, but you have to convert degrees to radians. The conversion is 180° = π radians. The formula is
S = rθ
S = (6 cm)(98°)(π/180°)
S = 10.26 cm
Thus, the arc length is 10.26 cm.
