If a circle has an area of 25 pi cm squared, find the circumference of the circle?
a. 5 squared cm
b. 10 squared cm
c. 50 sqaurred cm
d. 156.25 squared cm
a=pi*r^2
25pi = pi*r^2
25 = r^2
r = 5
so, c = 2pi*r = 10pi
To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference, and r represents the radius of the circle.
Given the area of the circle as 25π cm², we can find the radius by using the formula for the area of a circle, A = πr². Rearranging this formula, we get r = √(A/π).
Substituting the given area into the equation, we have r = √(25π/π) = √25 = 5 cm.
Now that we know the radius is 5 cm, we can find the circumference by using the formula C = 2πr. Plugging in the value of r, we get C = 2π(5) = 10π cm.
Therefore, the correct answer is b. 10 squared cm.
To find the circumference of a circle, you can use the formula: C = 2πr, where C is the circumference and r is the radius of the circle.
We are given that the area of the circle is 25π cm^2. The formula for the area of a circle is given by: A = πr^2.
Since we know the area, we can solve the equation for r to find the radius. Let's do that:
A = πr^2
25π = πr^2
r^2 = 25
r = 5 cm
Now that we have the radius, we can use the formula for circumference to find the answer:
C = 2πr
C = 2π(5)
C = 10π
So, the circumference of the circle is 10π cm.
However, none of the answer choices given are in terms of π, so we need to convert it to a decimal approximation. Using the approximation π ≈ 3.14, we can calculate:
C = 10π ≈ 10(3.14) ≈ 31.4
Therefore, the correct answer is not provided in the given options.