Information About Rectangular
Rectangular is one of the geometry object.Rectangular shape and it is having four sides and four right angles with two pair of equal sides
. The rectangular form is represented in x y Cartesian plane. It contains the coordinates of each system which is called rectangular coordinates. We will find the rectangular form from the polar form. The polar form is represented by the trigonometric functions or represented using the complex numbers.
Information about Rectangular : Classification and Polar co Ordinates
Classification give us more information about rectangulars:-
Classification of rectangular:
Rectangular prism:
Rectangular prism is a 3 Dimensional object, it contains 6 faces and 6 edges and six rectangle of solid.
Rectangle Pyramid:
Rectangular pyramid is a base of rectangle and opposed to the triangular pyramid with a base of triangle. Here all triangle top are connected same point of rectangular pyramid.
Rectangular cylinder:
Rectangular cylinder is nothing but a normal cylinder object; it has a base of an object and also has a height. Volume of the rectangular cylinder is multiplied with area of circle and height of cylinder.
Rectangular cube:
The rectangle cube can be defined as a square or a rectangular prism or a cylinder or a cube pyramid or rectangular prism or sphere or cube.
Rectangular Coordinates and polar coordinates
Polar To Rectangular:
Cartesian co ordinates are denoted as (x,y) and polar co ordinates are as (r, ?) . When we know the polar co ordinates (r, ?) we can convert it into Cartesian co ordinates by using the formula.
The formula used to convert the polar to rectangular form is:
X = r cos?, Y= r sin ?.
Hence, (r cos?, r sin ?) = (X, Y).
Where,
r = distance from origin to the point
x = Cartesian x-coordinate
y = Cartesian y-coordinate
?= angle relative to the zero axis.
Information about Rectangulars : Example Problems
Following example problems give us more information about rectangulars:-
Example 1:
Find the rectangular form of the polar coordinate (12.12, 54.74 ? ).
Solution:
r= 12.12, ?=54.74 ?
The formula used to find X coordinate is,
X = r cos?
=12.12 cos (54.74)
= 12.12* 0.5772
= 6.99
The formula used to find Y coordinate is,
Y= r sin ?
= 12.12 sin (54.74)
= 12.12 * 0.816
=9.896
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Example 2:
Find the surface area of a rectangular field 12 m length and 8 m width.
Rectangle
Solution:
The surface area of a rectangle is equal to its length multiplied by its width.
Surface area = Length * width
= 12 * 8
Surface area = 96 m2
Problem 1:
There are 5 boys has the pens. John has 5 pens, Peter has 13 pens, Stanly has 17 pens, Henry has 18 pens and Joseph has 21 pens. Find out the mean, median and range for the above statistic information.
Solution:
The given numbers are 5, 13,17,18,21.
Mean
We study, average of the given values is known as the mean. So calculate the addition of the given information.
Sum of the given numbers are = 5+13+17+18+21
=74.
We divide the total value by 5=74/5
Mean =14.8.
Median
Middle element of the given number series is known as median.
The number series is 5, 13, 17, 18, 21
The middle element of the above series is 17.
Therefore the 17 is the value of the median.
Range
The difference between top value and the least value is said to be as the range.
Range =21-5
=16.
So 16 is the answer.
These probability and statistics problems are used to study in online.
Problem 2:
What is the mean, median, mode and range of the below order in statistics?
15,21,27,28,32,36,40.
Solution:
The given numbers are 15,21,27,28,32,36,40.
Mean:
We study, mean is the average of the given number. Average can find with the help of the total value of the given sequence.
Sum of the given numbers are = 15+21+27+28+32+36+40
= 199.
Total values are divided by 7 = 199/7 =28.4.
Median:
Middle element of the given series is a median.
The number series is 15,21,27,28,32,36,40.
The middle element of the above sequence is 28.
So the median value is 28.
Mode:
Mode is the repetition of the series. The given sequence no copy value. Therefore the mode is empty.
Range:
We study, minus the low value from the topmost value of the series.
Range =40-15
=25.
Practice Problems on Statistical Information:
Problem 1
Find the median value for the following series. 21, 25, 27, 31, 33.
Answer:
The middle element is 27.
Therefore median value is 27.
Problem 2
Find the mode value for the following. 13, 18, 34, 37, 42.
Answer: =28.4.
Mode =null.
These examples are used to study the statistics.
by: mathqa
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