What is the length of a circle that has a central angle of 98 degrees and 6 cm?

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.