Question

Robert decides to repaint his ceiling, which is 14 ft by 20 ft. He wants to make sure to not paint the circular light fixture with a diameter of 3 feet. How many square feet will Robert be painting? Use π=3.14 and round to the nearest hundredth.

Answer 1

273 square feet

Explanation:

According to the scenario, computation of the given data are as follows,

Total ceiling area = 14ft × 20ft = 280 square feet

Diameter of circular light fixture = 3 feet

Radius of circular light fixture = 1.5 feet

So, Area of circular light fixture = π
`r^(2)`

=
`3.14(1.5)^(2)`

= 3.14 × 2.25

= 7.065 or 7 square feet

So, area for painting = Total ceiling area - Area of circular light fixture

= 280 - 7

= 273 square feet