Question

Consider the floor tile below. The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint? a. 2:4 b. 4:2 c. 1:3 d. 3:1

Answer 1

The ratio of green paint to white paint is 3:1.

Step-by-step explanation:

To find the ratio of green paint to white paint, we need to determine the area of each color. Let's assume the radius of the circles is 1 unit. The area of each circle is π(1^2) = π square units. The total area of the circles is 4π square units. Since the surface inside the circles will be painted green, the area of the green paint is 4π square units. The area outside the circles is the area of the whole square minus the area of the circles. If the side length of the square is 2, then the area of the whole square is 2 * 2 = 4 square units. The area outside the circles is 4 - 4π square units. Therefore, the ratio of green paint to white paint is 4π : (4 - 4π). We can simplify this ratio by dividing both sides of the ratio by 4, resulting in the ratio π : (1 - π). So the answer is d. 3:1.

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