Question

select the correct answer from each drop - down menu. an office buys a break room table that is designed as four overlapping circles. how much space is available for use on this table? the radius of each circle is approximately feet, and the area of each circle is approximately square feet. together, with the area filled in between the circles, the table is approximately square feet.

Explanation:

Step1: Find circle radius

The distance across 2 radii is 8 ft, so radius $r = \frac{8}{2} = 4$ ft.

Step2: Calculate area of 1 circle

Use circle area formula $A_{circle} = \pi r^2$.
$A_{circle} = \pi (4)^2 = 16\pi \approx 50.27$ square feet.

Step3: Calculate total table area

The shape equals 3 full circles (4 overlapping circles with 1 full circle overlap total).
$A_{total} = 3 \times 16\pi = 48\pi \approx 150.80$ square feet.

Answer:

The radius of each circle is approximately 4 feet, and the area of each circle is approximately 50.27 square feet. Together, with the area filled in between the circles, the table is approximately 150.80 square feet.