Find the radius if a circular lid with an area of 12inch ^2.
using (y-h^2 (y-k)^2=r2
I'm pretty confused any help would be great.
A = pi * r^2
12/ 3.14 = r^2
1.9549 = r
I'm confused I turned it in that way and was told that wasn't the correct formula for algebra formula.So is there really a different way to write it?
And I am confused by your question.
What does "using (y-h^2 (y-k)^2=r2 " have to do with it.
First of all you typed it incorrectly, should be
using (y-h)^2 + (y-k)^2=r^2
that would be the equation of a circle with centre (h,k) and radius r.
But you simply wanted the radius for a circle with area of 12 square units
so :
πr^2 = 12
r^2 = 12/π
r = √(12/π) = appr 1.9544 which is what Ms Sue gave you
To find the radius of a circular lid with an area of 12 square inches, we can use the formula for the area of a circle:
A = πr^2
where A represents the area and r represents the radius.
In this case, we are given that the area is 12 square inches. So we can set up the equation as:
12 = πr^2
Now, to solve for the radius, we need to isolate r. To do this, we divide both sides of the equation by π:
12/π = r^2
To simplify, you can use an approximate value for π such as 3.14:
12/3.14 = r^2
Now we can calculate the value of r^2:
r^2 = 3.82
To find the radius, we need to take the square root of both sides of the equation:
r = √3.82
Using a calculator, the approximate value is:
r ≈ 1.95
So, the radius of the circular lid with an area of 12 square inches is approximately 1.95 inches.
Regarding the expression (y - h)^2 + (y - k)^2 = r^2 that you mentioned, it seems to be the formula for the equation of a circle. In this equation, (h, k) represents the coordinates of the center of the circle, and r represents the radius. However, it does not apply directly to finding the radius from the given area.