Question

square feet of the gym Floorwill be covered in blue paint? Use 314 for it40 feet40 feet61349 square feet1944 square feet

Answer 1

The area of the gym floor to be covered in blue paint is 344 square feet

here, we want to get the area of the smaller gyms to be covered in blue paint

Firstly, we need to calculate the area of the gym

As we can see, the gym is a square of 40 ft by 40 ft

We have the area as;

$\text{Area = 40 ft }\times40ft=1,600ft^2$

To get the area of the blue patches, we need to subtract the area of the 4 circles

The diameter of the two circles is 40 ft

This means that the diamter of one of the circles is 20 ft

The radius of each of the circles is half the length of the diameter which is 20/2 = 10 ft

Thus, we have to multiply the area of a single circle by 4 to get the areas of all the circles

We have this as;

$\begin{gathered} \text{Area of circles = 4}\times\pi\times r^2 \\ =\text{ 4}\times3.14\times10^2=1256ft^2 \end{gathered}$

The area of the blue patches is thus;

$(1600-1256)ft^2\text{ = 344 square f}eet$