Question

cutting a circle into equal sections of a small Central angle to find the area of the circle by using the formula a = 2 Pi R Square ​

Answer 1

Answer:

Area of a Circle by Cutting into Sectors

Area = (π × radius) × (radius)

= π × radius2

Area of Circle = π r2

Answer 2

Answer:

A circle stands a figure consisting of all points in a plane that are at a shared distance from a conveyed point, the center. Equivalently, it stands the curve outlined out by a point that moves in a plane so that its distance from a given point is consistent.

Step-by-step explanation:

We know that:

Circumference = 2 × π × radius

And so the width is about:

Half the Circumference = π × radius

And so we keep (approximately):

the rectangle stands (pi x radius) by radius radius

π × radius

Now we just multiply the width by the height to discover the area of the rectangle:

Area = (π × radius) × (radius)

$= \pi * radius^{2}$.

Note: The rectangle and the "bumpy edged form" created by the sectors are not an actual match.

But we could get a more suitable outcome if we divided the circle into 25 sectors (23 with an angle of 15° and 2 with an angle of 7.5°).

And the more we divided the circle up, the nearer we get to being strictly right.

Determination

Area of Circle$=\pi r^{2}$.

In simply,

Area of a Circle by Cutting into Sectors

Area = (π × radius) × (radius)

=$\pi * radius^{2}$

Area of Circle$=\pi r^{2}$.

The image is shown below fore reference,

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