Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use = 3.14 and round the answer to the nearest square foot.
(7/2)^2$\cdot$3.14 = 49/4$\cdot$3.14
= 153.86 / 4
= 38.465
rounded:
$\boxed{38}$ ft$^2$