Asked by Swati
What will be the conclusion of the topic cutting a circle into equal section of a small central angle to find the area of a circle by using a formula pie r square?
Answers
Answered by
oobleck
first, the Greek letter pi is not a piece of pie!
The circumference of a circle is 2πr. If you slice it up into many many small arcs, then draw all those triangles, each with its height equal to the radius of the circle, then if you have n triangles, the sum of all their areas is
n * 1/2 * r * 2πr/n = πr^2
That is the area of the circle.
The circumference of a circle is 2πr. If you slice it up into many many small arcs, then draw all those triangles, each with its height equal to the radius of the circle, then if you have n triangles, the sum of all their areas is
n * 1/2 * r * 2πr/n = πr^2
That is the area of the circle.
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