Circle K has a greater area and it is higher than circle J by 500.045 square centimeter
Solution:
The area of circle is given as:

Where "r" is the radius of circle
Also, Radius is given by:

Given that,
Diameter of circle J is 18 cm
Therefore,

Substitute r = 9 in area formula

Thus area of circle J is 254.34 square centimeter
Diameter of Circle K is 31 cm

Substitute r = 15.5 in area formula

Thus area of circle K is 754.385 square centimeter
On comparing the area of circle J and circle K, we find the area of circle K to be higher
Area of circle K - Area of circle J = 754.385 - 254.34 = 500.045
Thus circle K has a greater area and it is higher than circle J by 500.045 square centimeter