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You don't mention whether the 4 feet is the circumference, diameter or radius.
The area of a circle is pi times the radius squared.
If 4 feet is the circumference, the area is about 1.3 feet squared.
If 4 feet is the diameter, the area is about 12.6 feet squared.
If 4 feet is the radius, the area is about 50.3 feet squared.
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How do you calculate area under the hydrograph curve without integrating?
Basically this isn't possible. Whenever you have an irregular curve, you need some kind of integration technique to get the area, or an estimate of the area. This can be quite simple, at least in principle: just approximate the area by narrow rectangles, calculate the area of each rectangle, and add everything up.
Why does pi appear in formulae for the circumference and the area of a circle - what is the connection?
Pi is defined as the ratio of the circumference of a circle to its diameter (pi = circumference / diameter). So that explains why it's in the circumference formula. For the area, a little knowledge of calculus is helpful. Here's a 'simple' explanation.Suppose you have a polygon with many sides, which is inscribed into a circle. The area of the polygon can be found by adding up the areas of isosceles triangles formed by a polygon side and line segments extending to the center. If you have enough sides, then the base of each small triangle will approximately be equal to the corresponding arc of the circle. For sufficiently small triangles (a very large number of sides for the polygon), a 'long leg' of the isosceles triangle will be approximately equal to its altitude.Say that we have a 100 sided polygon, with radius R and diameter = 2*R. So lets find the approximate area of the polygon. Each base (polygon side) will be approximately equal to Circumference/100, and each altitude will be approximately equal to R. So the area of one triangle is equal to Base*Altitude/2, which is approximately (Circumference/100)*R/2. Substitute Circumference = pi*Diameter = pi*2*R.Each triangle area is approx (pi*2*R/100)*R/2 = (pi/100)*R2. Since there are 100 triangles, the polygon area is approximately pi*R2 (which is the area of the circle). Note the word approximate, because there is slight space between the polygon and the circle, but [here's the calculus part], as the number of polygon sides approaches infinity, the space between the polygon and the circle approaches zero, and the errors in approximation approach zero, so that the area of the circle and the infinite sided polygonare the same.
A triangle or a square or a rectangle or a pentagon or a hexagon or an octagon or a circle has the least area and which has the maximum area if the perimeter of each is 44 cm?
Triangle-least area, circle- most area, per given perimeter . The circle would have an area of 154 square cm. the triangle could have an area of almost zero if it were a long, skinny triangle. An equilateral triangle would have an area approx 92.8 sq cm.
A square is inscribed in a circle of area 18 PI find a side of a square?
Area of circle: 18pi Radius of circle: square root of 18 = 3 times square root of 2 Using Pythagoras' theorem each side of the square is 6 units in length
What is the radius of a circle that has area of 68 square feet?
Area of circle = pi*r^2 so......... 68 sqr ft = pi * r^2 divide both sides by pi 21.645 = r^2 take square root of each side 4.7 feet = the radius of this circle
What is the maximum surface area if the number of cubes is 410 cubes maximizes the surface area in each case?
The diameter of a circle is 56 cm. What is the circumference of the circle? Use 22/7 to approximate for pi.
Estimate the area of each circle use 3 to approximate 4 feet solve it?
You don't mention whether the 4 feet is the circumference, diameter or radius. The area of a circle is pi times the radius squared. If 4 feet is the circumference, the area is about 1.3 feet squared. If 4 feet is the diameter, the area is about 12.6 feet squared. If 4 feet is the radius, the area is about 50.3 feet squared.
Estimate the area of each circleuse 3 approximate 4 feet answer work out the problem and the answer?
You don't mention whether the 4 feet is the circumference, diameter or radius. The area of a circle is pi times the radius squared. If 4 feet is the circumference, the area is about 1.3 feet squared. If 4 feet is the diameter, the area is about 12.6 feet squared. If 4 feet is the radius, the area is about 50.3 feet squared.
Estimate the area of each circleuse 3 approximate 4 feet answer work out the questions and the answer?
You don't mention whether the 4 feet is the circumference, diameter or radius. The area of a circle is pi times the radius squared. If 4 feet is the circumference, the area is about 1.3 feet squared. If 4 feet is the diameter, the area is about 12.6 feet squared. If 4 feet is the radius, the area is about 50.3 feet squared.
How do you calculate each side of a square when there is 9 circles with an area of 314 each?
I'm assuming you mean the following:--------|OOO||OOO||OOO|--------Where:Each circle touches, but does not overlap, each adjacent circleThere is no gap between the edge of the circles and the edge of the squareThe area of each circle is 314 units2Let r be the radius of a circleThe area of a circle is pi x r2r = square root of (314 / pi)r = approx*. 10 unitsThe length of each side of the square = 6 x r = approx*. 60 units* approximate, because the value of pi is not exactly 3.14
What is the area of a circle with 4mm?
You neglected to say whether the 4mm is the radius of the circle, or the diameter,or the circumference. Each possibility leads to a different area.
What the area of each circle. Use 3.14 as an approximation for π?
That depends on its radius which has not been given but the area of a circle is pi*radius squared
Each sector of a circle divided into sixths occupies what percent of the area of the whole circle?
Each section of the circle is 1 sixth of the circle, so 1/6. 1/6 = .166666... = 16.66...%
How do you calculate area under the hydrograph curve without integrating?
Basically this isn't possible. Whenever you have an irregular curve, you need some kind of integration technique to get the area, or an estimate of the area. This can be quite simple, at least in principle: just approximate the area by narrow rectangles, calculate the area of each rectangle, and add everything up.
How did the Romans work out the area of a circle?
The area of a circle is the number of square units inside that circle, if each square in the circle to the left has an area of 1cm2, you could count the total number of squares to get the area of this circle. However, it is easier to use one the following formulas; A=.r²or A=pi times r times r, where A is the area and r is the radius.
How do you calculate the diameter or radius of each circle?
Using the Circumference And Area.
How do you find the area of a circle without using pi?
You cannot get an accurate measure of the area without pi. If you are interested in an approximation, you could divide the circle up into tiny squares of some fixed area (their size would depend on how big the original circle was). Then count the number of squares where half or more is inside the circle and multiply by the area of each square. That will give you an estimate of the area of the circle. You could make an approximation with inscribed and circumscribed polygons (which are the sum of a number of isosceles triangles) and average the two areas, increasing the number of sides of the polygons to increase accuracy (that is the way the early Greek mathematicians did it). Much easier and quicker to use pi!
