The length of the arc HK to the nearest hundredth is 30.77 units
An arc is a cut out part of the circumference of a circle. The circumference of a circle is expressed as
C = 2πr
The length of an arc is calculated by multiplying the circle with the ratio of the angle substended to 360° i.e
length of an arc = x/360 × 2πr
where x is the angle substended
x = 126
r = 14 units
l = 126/360 × 2 × 14 × 3.14
l = 30.77
Therefore, the length of the arc HK to the nearest hundredth is 30.77units.