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.

The figure is made up of one semicircle and two quadrants The distance around the figure is 9729 inches Find the value of k Use 314 as an approximation for pi P class=

Respuesta :

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.