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## 2 Little Semi Circle,can U Find.the AB^2, test your power of reasoning(mr Shape) - Education - Nairaland

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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 x-axis. 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)where (h, k) is the center of the circle and r = |AB|/2 is it's radius 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) and(4 - h)² + k² = r² ————(4) Solving (3) & (4) simultaneously, we will discover that h = ½ and substitution into either (3) or (4) yields k² + (49/4) = r²4) 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, b² = 6², and c² = r² = k² + (49/4) and by the Pythagorean theorem, c² + a² = b². Substituting and solving for k², we find that k² = 47/4 and therefore r² = k² + (49/4) = 24 5) r² = |AB|²/4 |AB|² = 4r² = 96 unit² |AB|² = 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:AB^2= 96 unit^296 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: 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 x-axis. 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 and the equation of the circle that yields the smaller semicircle is 3) the smaller semicircle contains the points F(4, 0) and E(-3, 0) therefore the coordinates of both points satisfies eq. (2) Solving (3) & (4) simultaneously, we will discover thath = ½ and substitution into either (3) or (4) yields k² + (49/4) = r²4) Observe that point (h, k), O(0, 0) and point B are vertices of a right triangle of sidea, b, and c such that 5) r² = |AB|²/4 |AB|² = 4r² = 96 unit² |AB|² = 96 unit² 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:Awaiting more shapes tomorrow. 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:Sure sir 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: In that your meme, what's the meaning of "CAN"? 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:G'day Mrshape what about yesterday's shape answer 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: 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 x-axis. 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 and the equation of the circle that yields the smaller semicircle is 3) the smaller semicircle contains the points F(4, 0) and E(-3, 0) therefore the coordinates of both points satisfies eq. (2) Solving (3) & (4) simultaneously, we will discover that h = ½ and substitution into either (3) or (4) yields k² + (49/4) = r²4) 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 5) r² = |AB|²/4 |AB|² = 4r² = 96 unit² |AB|² = 96 unit² 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: 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 x-axis. 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 and the equation of the circle that yields the smaller semicircle is 3) the smaller semicircle contains the points F(4, 0) and E(-3, 0) therefore the coordinates of both points satisfies eq. (2) Solving (3) & (4) simultaneously, we will discover that h = ½ and substitution into either (3) or (4) yields k² + (49/4) = r²4) 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 5) r² = |AB|²/4 |AB|² = 4r² = 96 unit² |AB|² = 96 unit² Sweeet

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