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Nairaland Forum / Nairaland / General / Education / 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) (162 Views)
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2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 8:22am On Aug 14 
Find (AB)^2 in the figure below

Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 9:22am On Aug 14 
No response or is it a case of local man cannot can?

Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Martinez39: 9:25am On Aug 14 
AB² = 96 unit² 1 Like 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Boringdraw1: 9:31am On Aug 14 
AB^2= 96 unit^2 1 Like 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Martinez39: 10:13am On Aug 14 
My work, using coordinate geometry. 1) Fix the diagram on a rectangular coordinate system such that point O is at the origin and CD lies on the xaxis. Doing this gives the following coordinates: O(0, 0), F(4, 0), D(6, 0), E(3, 0), C(6, 0) 2) The equation of the circle that yields the bigger semicircle is x² + y² = 6² ————(1)and the equation of the circle that yields the smaller semicircle is (x  h)² + (y  k)² = r² ————(2) 3) the smaller semicircle contains the points F(4, 0) and E(3, 0) therefore the coordinates of both points satisfies eq. (2) (3  h)² + k² = r² ————(3) Solving (3) & (4) simultaneously, we will discover that h = ½ and substitution into either (3) or (4) yields k² + (49/4) = r² 4) Observe that point (h, k), O(0, 0) and point B are vertices of a right triangle of sides a, b, and c such that a² = h² + k² = ¼ + k², 5) r² = AB²/4 AB² = 4r² = 96 unit² AB² = 96 unit² 1 Like 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 10:46am On Aug 14 
Boringdraw1:96 is correct show ur workings please. 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 10:46am On Aug 14 
Martinez39:Good one. 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Martinez39: 11:18am On Aug 14 
Awaiting more shapes tomorrow. 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 11:37am On Aug 14 
Martinez39:Sure sir 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Martinez39: 11:47am On Aug 14 
Mrshape:In that your meme, what's the meaning of "CAN"? 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 12:35pm On Aug 14 
Martinez39:I think it means I will not bother attempting, I am not doing again, this is beyond me, in fact local man can not can. 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Kkings11: 12:43pm On Aug 14 
G'day Mrshape what about yesterday's shape answer 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Mrshape: 12:45pm On Aug 14 
Kkings11:ok sir I will post it soon 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Darivie05: 3:57pm On Aug 14 
Martinez39:Nice solution 
Re: 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) by Red2C(m): 6:17pm On Aug 14 
Martinez39:Sweeet 
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