the portuguese national flag is a rectangle in the center of the flag is a coat of arms and shield on a circle.this circle has a diameter that is half the flags height.if the flags circle has an area of 3.14 square feet,what is the height of the flag?
To find the height of the flag, we need to first calculate the area of the rectangle and set up an equation using the given information.
Let's assume the height of the flag is represented by "h". Since the diameter of the circle is half the flag's height, we can conclude that the radius of the circle is "h/2".
The formula for calculating the area of a circle is: A = π * r^2, where A is the area and r is the radius.
Given that the area of the circle is 3.14 square feet, we can write the equation as:
3.14 = π * (h/2)^2
To simplify the equation, let's substitute the value of π with an approximate value of 3.14:
3.14 = 3.14 * (h/2)^2
Now, let's simplify further:
1 = (h/2)^2
Taking the square root of both sides:
√1 = √[(h/2)^2]
1 = h/2
Multiplying both sides of the equation by 2:
2 = h
Therefore, the height of the flag is 2 feet.