To solve for k, you will need to use the circumference formula and what you know about circles. The distance around this figure would consist of one full circumference (all 3 circular sides put together) and one diameter (the 2 straight edges together).
97.29 = pi x d + d
97.29 = 3.14d + d: combine your like terms
97.29 = 4.14d; divide both sides by 4.14
d = 23.5 inches
k is the distance of the diameter, so k = 23.5 inches.