The figure is made up of one semicircle and two quadrants. The distance around the figure is 97.29 inches. Find the value of k. Use 3.14 as an approximation for pi. Picture of figure attached.
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.