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

Rewriting percent expressions, i have trouble going through problem in this...

i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in

Circles, how to find equations of circles when given equations of centres o...

how to find equations of circles when given equations of centres on which it lies?

Class 10, chapter permutation & combination ex :4.6

chapter permutation & combination ex :4.6

Detemine the amplitude of trigonometric function, 1. Consider the trigonome...

1. Consider the trigonometric function f(t) = (a) What is the amplitude of f(t)? (b) What is the period of f(t)? (c) What are the maximum and minimum values attained by

How to solving one-step equations, How to Solving One-Step Equations? E...

How to Solving One-Step Equations? Equations, where one math operation is acting on the variable, can be solved in one step. The trick is to get the variable x by itself - isol

Curve tracing, how to curve trace? and how to know whether the equation is ...

how to curve trace? and how to know whether the equation is a circle or parabola, hyperbola ellipse?

What is the value of x in probability , A bag contains 8 red balls and x bl...

A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

Estimate the position of an object at any time, The position of an object a...

The position of an object at any time t (in hours) is specified by, s (t ) = 2t 3 - 21t 2 + 60t -10 Find out when the object is moving to the right and whiles the object

Fiancial project, With your current loan, explain how much additional money...

With your current loan, explain how much additional money you would need to add to your monthly payment to pay off your loan in 20 years instead of 25. Decide whether or not it wou

Derivative and differentiation, Derivative and Differentiation The pro...

Derivative and Differentiation The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is de

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