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

Find the exact points and factorise , Consider the function f(x) = x 2 - 2...

Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-

Derivative for parametric equations, Derivative for Parametric Equations ...

Derivative for Parametric Equations dx/dy = (dx/dt) / (dy/dt) ,         given dy/dt ≠ 0 Why would we wish to do this? Well, remind that in the arc length section of the Appl

Area of a parallelogram x what is the height in terms of x, The area of a p...

The area of a parallelogram is x 8 . If the base is x 4 , what is the height in terms of x? Since the area of a parallelogram is A = base times height, then the area divided by

Pre Calculus, I have no idea how to graph exponential forms.

I have no idea how to graph exponential forms.

Shares and divend, a company of 10000 shares of rs 100 each declares a annu...

a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

Marketing research, Discuss the role research would play during your decisi...

Discuss the role research would play during your decision making

Which kevin gets paid is represented by x what does paid, Patrick gets paid...

Patrick gets paid three dollars less than four times what Kevin gets paid. If the number of dollars which Kevin gets paid is represented through x, what does Patrick get paid?

What is angle pairs in parallel lines, What is Angle Pairs in Parallel Line...

What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an

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