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welcome to mass accelerator im april snow construct a square and construct a quarter circle and a semicircle as shown shades overlapping shape in blue if the set length of the square is equal to 8 then whats the area of the blue shape if you want to have a try please pause the video if you are ready now lets get started get the center of the semicircle o along line segment bc construct line segments a e o e and e e shape the shapes in red and green as shown then lets figure out how to get the area of the blue ship the blue ship can be divided into two parts the bigger part of the blue shape is equal to a sector subtracts the green triangle and the smaller one is equal to another sector subtracts the red triangle so the question is how to get the areas of the sectors and triangles construct a o and ab is equal to ae because they are the radii of the quarter circle and similarly ob is equal to oe because they are the radii of the semi circle so the triangles aob and aoe are congruent