Online Geometry theorems, problems, solutions, and related topics.
Geometry Problem. Post your solution in the comments box below.Level: Mathematics Education, High School, Honors Geometry, College.Click the diagram below to enlarge it.
S₁=1/2×(n-2)πr² = (n/2 - 1)πr²S₂=1/2×2πr² + n×1/2 πr² = (n/2 + 1)πr²S₂ - S₁ = 2πr²
http://s30.postimg.org/bdf0x1ccx/pro_1077.png1. From circle A, draw Ax//AM ( see sketch)Let area of sector form by AB and Ax is aBlue area of circle A – Yellow area of circle A= 2.a2. From circle B draw Bx //AxArea of sector form by AB extension and BC is bBlue area of circles A and B – Yellow areas of circles A and B= 2.(a+b)Continue with circles C, D, E, F…. M If all circles form a chain then areas of sectors a+b+…. m will be full circle radius r Blue areas of all circles – yellow areas of all circles will be 2 times area of full circle= 2.pi.r^2