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The attached diagram shows a arc of a circle who centre is

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The attached diagram shows a arc of a circle who centre is [#permalink] New post 13 Oct 2006, 07:36
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The attached diagram shows a arc of a circle who centre is at the origin and a line that is tangent to the circle at (4,3). What is the approximate combined area of the the two shaded regions?

(A) 2.4 (B) 4.4 (C) 6.4 (D) 8.4 (E) none of these
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Last edited by kevincan on 13 Oct 2006, 12:38, edited 1 time in total.
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 [#permalink] New post 13 Oct 2006, 11:59
Having a bit of dificulty understanding the wording of the question, but here goes:

gradient of radius line from 0,0 to 4,3 = 3/4

gradient of tangent therefore is -3/4

substituting y = mx + b to get y intersect

3 = -3/4 (4) + b
b = 6

substituting y = 0 to get x intersect

0 = -3/4x + 6
x = 4/3(6) = 8

therefore area = 1/2(8) * 6 = 24
  [#permalink] 13 Oct 2006, 11:59
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The attached diagram shows a arc of a circle who centre is

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