Cutting a circle into equal sections of a small central angle to find the area of circle by using the formula A=πr^2 and verify the formula by calculating the radius and area of circular objects (like wheel of vehicle, circular plate, etc
Cutting a circle into equal sections of a small central angle to find the area of circle by using the formula A=πr^2 and verify the formula by calculating the radius and area of circular objects (like wheel of vehicle, circular plate, etc
impatient much? give someone a chance to see the problem before you post it again! (At least you didn't start a whole new thread, so thanks for that)
If you cut the circle into very thin sections, they are approximately triangles.
Each is of height r and the sum of the bases is just the circumference of the circle, 2πr
Adding up all the areas, you get
1/2 r * 2πr = πr^2
To find the area of a circle using the formula A = πr^2, you need to know the value of the radius (r).
One way to calculate the radius of a circular object is by measuring the distance from the center of the circle to any point on its circumference. This can be done using a ruler or measuring tape.
To calculate the area of a circular object using the formula, follow these steps:
1. Measure the radius (r) of the circular object.
2. Square the value of the radius (r^2).
3. Multiply the squared radius (r^2) by the constant π (pi), which is approximately 3.14159.
4. The result obtained is the area (A) of the circle.
For example, let's say you have a circular plate with a measured radius of 10 cm.
1. Measure the radius: r = 10 cm
2. Square the radius: r^2 = 10^2 = 100 cm^2
3. Multiply by π: A = π * 100 cm^2 = 314.159 cm^2
Therefore, the area of the circular plate is approximately 314.159 cm^2.
Similarly, you can calculate the area of other circular objects, such as a wheel of a vehicle, by measuring the radius and applying the same formula.
It's important to note that the accuracy of the calculation depends on the precision of the measurement taken for the radius.