Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2014-02-02 00:49:48

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,885
Website

Circles #4

AB is the diameter of a circle with center O.
C is a point on the circumference such that angle COB = θ
The area of the minor segment cut off by AC is equal to twice the area of the sector BOC.

Prove that

θ is in degrees

Last edited by Agnishom (2014-02-02 00:50:06)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

#2 2014-05-22 01:07:26

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,532

Re: Circles #4

hi Agnishom,

I must have time to spare today; I'm looking through the unanswered posts; and I found this one.  Did you ever do it?

Use the following:

area of a segment = area of the sector less the triangular bit.

And then you simplify this and use sin(A) = 2 sin(a/2).cos(a/2)

Takes a few lines only.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Offline

#3 2014-05-22 01:56:08

ShivamS
Member
Registered: 2011-02-07
Posts: 3,629

Re: Circles #4

http://www.meritnation.com/ask-answer/question/q-ab-is-the-diameter-of-a-circle-center-o-c-is-a-point-on/areas-related-to-circles/1587959

Offline

Board footer

Powered by FluxBB