Question

The library of a contemporary elementary school is circular. The floor

plan includes sectors reserved for science materials, literary materials,
reference materials, and so on. Find the area of the reference section
excluding its storage area.
The area of the reference section excluding its storage area is
(Round to the nearest hundredth as needed.)

Answer 1

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Explanation:

The area of the reference section excluding its storage area (
`A`), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

`A = (1)/(2)* (45^(\circ))/(180^(\circ)) * \pi * (37.5\,ft)^(2) - (1)/(2)* (45^(\circ))/(180^(\circ))* \pi * (12\,ft)^(2)`

`A \approx 157.781\,ft^(2)`

The area of the reference section excluding its storage area is approximately 157.78 square feet.