Question

Alex is building a circular base for a fountain. The radius of the circle is 4 ft. What is the area of the base?Maryann has a hexagonal deck the needs to be painted. the apothems length is 7 feet and one side is 8 feet. what is the square footage of her deck?

Answer 1

Area of base of fountain: 16

Square footage of her deck:
`96√(3)`

Explanation:

Area of a circle is
`\pi r^(2)`

r is the radius

`\pi r^(2) \\\pi 4^(2) \\16\pi`

Square footage of her deck is
`(3√(3) )/(2) * s^2`

s = 8ft

`(3√(3) )/(2) * 8^2\\(3√(3))/(2)* 64\\(3* 64√(3))/(2)\\96√(3)`