Find The Area of The Blue Shaded Region in The Square | Geometry | Math | 2 Methods

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In this video we will calculate the area of the blue shaded region.Watch and improve your geometry skill. #maths, #math , #geometry #triangles #square
  1. GeoMathry
  2. math
  3. mathematics
  4. geometry
  5. triangle
  6. square questions
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Автор

تمرين جميل جيد . رسم واضح مرتب . شرح واضح مرتب . شكرا جزيلا لكم والله يحفظكم ويرعاكم ويحميكم جميعا . تحياتنا لكم من غزة فلسطين .

اممدنحمظ
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La alineación AC biseca la superficie lenticular en dos mitades que giradas 90º una a izquierda y otra a derecha, junto con la zona azul de la izquierda completan el triángulo rectángulo DAB → Área azul =8*8/2=32
Gracias y saludos.

santiagoarosam
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Somehow it didn't take 8 minutes to solve. I just pictured this big square shattering to 4 smaller squares and i just made the upper right square overlap the upper left one, turned it upside down, and it somehow created 1/4th of the circle perfectly fitting the down right section if rotated by 90°, and i got literally 2 smaller squares out of 4, 2/4 equals 1/2, and the answer is half a cube

bettergang
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This solution seems overkill. We can draw the diagonal AC and see that QC will originate at the centre of the circle and bisect the shaded area in the upper right corner. Drawing the diagonal BD creates two new areas. By symmetry we can see that these must have the same area as the afoementioned shaded areas. Hence we have a triangle with base 8 and height 8.

allanjmcpherson