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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]

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13 Oct 2006, 08:36
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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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arc and tangent.doc [23.5 KiB]

Last edited by kevincan on 13 Oct 2006, 13:38, edited 1 time in total.
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13 Oct 2006, 12:59
Having a bit of dificulty understanding the wording of the question, but here goes:

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
13 Oct 2006, 12:59
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