Question

Rounded to the nearest whole number, how many 2ft by 2 ft squares will fit into circle that has a diameter of 20 feet

Answer 1

Answer:

79

Step-by-step explanation:

A square that has side length $l=2 ft$ has area $2^2=4ft^2$.

A circle that has a diameter 20 feet has area $A=\frac{\pi d^2}{4}$

We substitute the diameter into the formula to obtain;

$A=\frac{\pi \times 20^2}{4}=100\pi ft^2$

The number of squares that has area 4 feet square that can fit into a circle with area $100\pi ft^2$ is

$=\frac{100\pi}{4}=25\pi=78.5398$

When we round to the nearest whole number; we have 79 squares.