Arclength surprise - mathematics, Mathematics

Assignment Help:

Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and y-axis is constant! Moreover, that constant is same to the length of S:

A + B = s2 - s1.

In Figure,  note that regions A and B overlap; in that part the area is counted double times. The quantity (s2 - s1) shows the length of S along the arc from s2 to s1.

1605_arc length.gif


Related Discussions:- Arclength surprise - mathematics

Polynomial : f(x).f(1/x), A polynomial satisfies the following relation f(x...

A polynomial satisfies the following relation f(x).f(1/x)= f(x)+f(1/x). f(2) = 33. fIND f(3) Ans) The required polynomial is x^5 +1. This polynomial satisfies the condition state

Correlation coefficient, Correlation coefficient - These are numerical...

Correlation coefficient - These are numerical measures of the correlations existing between the independent and the dependent variables - These are better measures of corre

If the area of the parallelogram is 36 m2 what is the height, The height of...

The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a

Shortcomng methods for teaching hto in maths, 1.What are the strengths and ...

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

Quotient rule (f/g)'' = (f''g - fg'')/g2, Quotient Rule (f/g)' = (f'g - ...

Quotient Rule (f/g)' = (f'g - fg')/g 2 Here, we can do this by using the definition of the derivative or along with Logarithmic Definition. Proof Here we do the pr

Example for pre-operational stage learning maths, E1) I have a three-year-o...

E1) I have a three-year-old friend. He has a lot of toy cars to play with. Playing with him once, I divided the cars into two sets. One set was more spread out and had 14 cars in i

Determination of the regression equation, Determination of the Regression E...

Determination of the Regression Equation The determination of the regression equation such given above is generally done by using a technique termed as "the method of least sq

Describe the laws of sines, Q. Describe the Laws of Sines? Ans. Up...

Q. Describe the Laws of Sines? Ans. Up to now we have dealt exclusively with right triangles.  The Law of Sines and the Law of Cosines are used to solve  oblique triangles

Inverse functions, Inverse Functions : In the last instance from the pr...

Inverse Functions : In the last instance from the previous section we looked at the two functions   f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )

Linear equation in two variables., draw the graph of following pair of line...

draw the graph of following pair of linear equation:-2y=4x-6

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd