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To prove the formula you need to integrate the function y = +sqrt(1 - x2) between the limits x = -1 and x = +1, and then double the result to allow for the area under the x-axis.
Better still, use polar coordinates and double integrate rdrdA where r goes from 0 to R, the radius of the circle, and the angle A goes from 0 to 2*pi.
The result can be VERIFIED by comparing the area and the radius but that is not proof.
What else can I help you with?
What is formula for the area of a circle?
the formula for the area of a circle is 3.14 x radius squared
How do you prove the formula for the area of a rectangle?
The formula for the area of a rectangle is length x breadth. In order to prove this works, work out an area of a rectangle using that formula.
Formula to find area of circle?
The area of a circle can be found with the formula (pi)r^2
What s the formula for the area of a circle?
The formula for the area of a circle is πr2, or pi x radius^2 The radius of a circle is the diameter divided by two, and pi is approx. 3.1415926535
What is the largest area that you can have if the perimeter is 24 feet?
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
What is formula for the area of a circle?
the formula for the area of a circle is 3.14 x radius squared
What is the formula doe for the area of a circle?
The formula to find the area of a circle is: A = pi * r2
What is the formula used to calcd the area of a circle?
The formula used to calculate the area of a circle is A r2, where A represents the area and r is the radius of the circle.
What is the fa formula for calculating the area of a circle?
The formula for calculating the area of a circle is A r2, where A represents the area and r represents the radius of the circle.
How do you prove the formula for the area of a rectangle?
The formula for the area of a rectangle is length x breadth. In order to prove this works, work out an area of a rectangle using that formula.
Formula to find area of circle?
The area of a circle can be found with the formula (pi)r^2
What is the formula for Bh for circle?
Area formula for circle= --,,- r 2
Investigate the formula of the area of a circle?
The formula to find the area of a circle is pi x the radius squared.
What is 2 pi squared?
The formula for double the area of a circle
Formula to find the area of circle?
Area of a circle = pi*radius2
What is the formula of the sector of the circle?
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
Formula and result of area of circle?
The formula for the area of a circle is: Area = (pi) x (Radius)2 . When you know the radius of the circle and you use it to calculate the area of the circle, the result will be equal to (pi) x (Radius)2 .
