Scott wants to buy fencing to place around a semicircular rock garden The diameter of the semicircle is 16 feet Using 3.14 for pi he calculates that he needs to buy abut 25.12 feet of fencing. The fencing is sold by the foot, so he plans to buy 26 feet of fencing. Explain why Scott's reasoning is incorrect and find the correct amount of fencing he should buy

Given that Scott's garden is semi-circle, to calculate for the amount of fence required, we need to get the perimeter of the semi - circle. This will be given as follows:

C=πd

π=3.14, d=16 ft

C=3.14*16=50.24 ft

Thus total perimeter will be:

50.24+16

=66.24 ft

Thus since the perimeter is larger than Scott's approximation, it implies that he was wrong about his estimations. He should have bought 67 ft of fence.