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You can split the circle up, into a lot of slices (as when you cut a Pizza). If the slices are very thin, their shape will be quite similar to thin triangles. When you add up all these triangles, you get an area of (1/2) x radius x perimeter.
I am not sure whether this was the original derivation of the area, but it's certainly one way it can be done.
You can also split the circle into small shapes in other ways (for example, vertical strips), and add up the pieces.
Such techniques are known as "integration", and you learn them in the subject called "calculus".
What else can I help you with?
What is the biggest ice cicle in the world?
Antarctica •j
What is the relationship between the empirical formula and the molecular formula?
An empirical formula contains the constituent elements in the lowest possible mathematical whole-number ratio. In some cases, this is the legitimate formula for the compound, particularly if the substance you're dealing with is an ionic compound. Sometimes, however, the actual formula, known as the molecular formula, is a whole-number multiple of the empirical formula. The molecular formula for glucose is C6H12O6. However, an empirically-derived formula for glucose would be CH2O, which is the lowest possible ratio of carbon, hydrogen, and oxygen in that compound.
What is the formula for finding the radius?
The formula for finding the radius of a circle is circumference divided by double of pi. If area is given instead of circumference, the radius may be found by dividing the area by pi, then finding the square root of the resultant quotient. It is also equal to half of the diameter, or the diameter divided by 2.
How do you find the height of a pyramid?
h = height, B = area of base, v= volume h = 1/3 B * v formula
How many percent of the sun reach the earth surface?
That's a fairly easy calculation.The Sun is 93,000,000 miles away. The formula for the area of a sphere is 4/3*pi*r^2The cross-sectional area of the Earth is a circle with a radius of about 4,000 miles. The formula for the area of a circle is pi*r^2.Google can be used as a calculator! The answer is(pi * (4000^2)) / ((4 / 3) * pi * (93 000 000^2)) = 1.38744364 × 10-9So, 0.0000001387%.In technical terms, that's "Not much!"Comments: Unfortunately, this answer uses the wrong formula for the surface area of a sphere. I calculate the correct answer to be about 0.00000004.5 %.Also, it doesn't deal with the point about how much energy reachesthe surface of Earth.Surface area of a sphere is: 4 "pi" (radius)2 .
How do you calculate a cicle's area?
Assuming you know the radius - the formula is Pi x Radius2
Area of a cicle?
Do you mean circle? The area of a circle is pi times the radius2.
Which Indian mathematician derived the formula of area of cyclic quadrilateral?
brahmagupta
Find area of a cicle if the diameter is 8.4 cm.?
12.5 km
The area of a circleis 78.5cm2 What is the cicumference of the cicle?
Yo mamas vajayjay
How many sq in in 12 in cicle?
Area of a circle = pi*radius squared
How do you derived a formula area to diameter?
If A is the Area, r is the radius and D is the Diameter thenD = 2A/rThe Converseof theis formula is:A = D X r/2
How do you derived the herons law?
Heron's formula can be derived by dividing a triangle into two right triangles and applying the Pythagorean theorem to each. This allows for the expression of the area of a triangle in terms of its side lengths, which eventually leads to Heron's formula.
What is the formula to get the area of a triangle?
The formula to calculate the area of a triangle is A = 1/2 * base * height, where A represents the area, the base is the length of the triangle's base, and the height is the perpendicular distance from the base to the opposite vertex. This formula is derived from the fact that the area of a triangle is half the product of its base and height. By plugging in the values for the base and height into the formula, you can easily determine the area of the triangle.
Do you use pi to find the volume of a cicle?
Yes, the formula for the volume of a sphere is V = (4/3) * pi * r^3.
Is area a derived quantity?
Yes, area is a derived quantity.
How is the GSM formula for fabric derived?
For a piece of fabric, it is the ratio of its mass (expressed in grams) to its area (expressed in square metres).
