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

If the squared difference of the zeros find the value of p, If the squared ...

If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.

Triangle, in triangle abc ab=ac and d is a point on side ac such that bc*bc...

in triangle abc ab=ac and d is a point on side ac such that bc*bc=ac*cd. prove that bc=bd

Functions of many variables, There may be more than one independent v...

There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the

Calculate the volume and surface area of a cube, Calculate the volume and s...

Calculate the volume and surface area of a cube: Calculate the volume and surface area of a cube with a = 3".  Be sure to involved units in your answer. Solution: V =

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Statistics, explain the characteristics of statistics

explain the characteristics of statistics

Operations research, Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2, Subject to the constraints: X1+ X2 = 4 X1+ X2 = 2 X1, X2 = 0

Sampling distribution p-hat, Caterer verifies that 87% of people who sample...

Caterer verifies that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If

Obtain the equation of the diagonals, the sides of a quad  taken at random ...

the sides of a quad  taken at random are     x+3y-7=0              x-2y-5=0 3x+2y-7=0               7x-y+17=0  obtain the equation of the diagonals

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