Question

a table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 ft. what is the area A of the table after it is cut in half?

Answer 1

Before it is cut, you have a circle with diameter 6ft which means it had a radius of 3ft

After it is cut, you now have a semi-circle still with diameter 6ft and radius 3ft

$Area \: of a \: circle = \pi {r}^{2}$

$Area \: of a \: semi-circle = \frac{\pi {r}^{2} }{2}$
Substitute the values you have

$Area = \frac{\pi \times {3}^{2} }{2}$
Area = 14.14ft squared