how do you find the circumference of a circle with the area of 169 pie m squared(in the terms of pie)? Please tell me how to do it. Don't just give me the answer
area = pi r^2
169 pi = pi r^2
so
r^2 = 169
r = 13
then
we want circumference = 2 pi r
= 2 * 13 * r
= 26 r
Well, pie is yummy, but let's talk about pi, the mathematical constant. To find the circumference of a circle, we need to know its area first. In this case, you've mentioned that the area is 169 pi m².
So, to find the circumference, we need to reverse the formula for the area of a circle. The formula for the area of a circle is A = pi * r², where A is the area and r is the radius.
Since we already know that the area is 169 pi m², we can set up the equation as 169 pi = pi * r². Now, we can solve for the radius (r):
169 = r²
Taking the square root of both sides, we get:
r = √169 = 13 m
Now that we know the radius is 13 m, we can find the circumference (C) using the formula C = 2 * pi * r:
C = 2 * pi * 13 = 26 pi m
So, the circumference of the circle with an area of 169 pi m² is 26 pi m. Voila! Remember, no actual pies were harmed in the making of this explanation!
To find the circumference of a circle when given the area in terms of π (pi), we need to follow these steps:
1. Determine the formula for the area of a circle: A = πr², where A represents the area and r represents the radius of the circle.
2. Rearrange the formula to solve for the radius: r = √(A/π).
3. Substitute the given area into the equation: r = √(169π/π).
4. Simplify the equation: r = √169.
5. Solve for the radius: r = 13.
6. Once you have the radius, find the circumference of the circle using the formula C = 2πr.
7. Substitute the value of the radius into the formula: C = 2π(13).
8. Simplify the equation and calculate the circumference: C = 26π m.
So, the circumference of the circle with an area of 169π m² is 26π m.
To find the circumference of a circle using the given area, you first need to know the relationship between the circumference and the area of a circle. The formula for calculating the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle. To find the circumference, you can use the formula C = 2πr, where C represents the circumference.
In this case, the area is given as 169π m^2. To solve for the radius, you need to rearrange the area formula. Divide both sides of the equation A = πr^2 by π to isolate r^2, which gives you r^2 = A/π.
Now substitute the given area into the formula: r^2 = 169π/π. Simplifying further, r^2 = 169, which means the radius is √169 = 13 m.
Finally, substitute the radius into the circumference formula C = 2πr: C = 2π(13). This simplifies to C = 26π m.
Therefore, the circumference of the circle with an area of 169π m^2 is 26π m.