The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.
Since the length of the rectangle is equal to the circumference of the circle, we can equate that to 2πr.
Let's say the radius of the circle is R. The length of the rectangle = 2πR.
From the given information, we know that the height of the rectangle is the same as the height of the cylinder. Let's say the height of the cylinder is H.
The lateral surface area (rectangle) of the cylinder = height * circumference
So, 2πR * H = πR^2
2H = R
Since the length of the rectangle is equal to 2πR, we can substitute R = 2H into the formula for the circumference of the circle:
C = 2π(2H) = 4πH
Therefore, the circumference of the circle is 4πH.
In order to find the approximate value, we can plug in a value for π. Using π = 3.14,
C ≈ 4 * 3.14 * H ≈ 12.56H
So, the circumference of the circle is approximately 12.56 times the height of the cylinder when rounded to the nearest whole number.
If you draw a net of the cylinder, it will have one rectangle and two circles. The height of the rectangle is the same as the height of the cylinder. The length of the rectangle is the same as the circumference of the circle.
What is the circumference of the circle? Round your answer to the nearest whole number.
The circumference of the circle is
cm.
1 answer