SOLUTION: ABCD is a square with sides 4 cm. Arcs of radius 4 cm are drawn with centres at B and D. Find the area of the shaded region, in cm2.
https://ibb.co/QNyNx4J
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-> SOLUTION: ABCD is a square with sides 4 cm. Arcs of radius 4 cm are drawn with centres at B and D. Find the area of the shaded region, in cm2.
https://ibb.co/QNyNx4J
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Question 1209171: ABCD is a square with sides 4 cm. Arcs of radius 4 cm are drawn with centres at B and D. Find the area of the shaded region, in cm2.
https://ibb.co/QNyNx4J Answer by ikleyn(52810) (Show Source):
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ABCD is a square with sides 4 cm. Arcs of radius 4 cm are drawn with centres at B and D.
Find the area of the shaded region, in cm2.
https://ibb.co/QNyNx4J
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Draw the diagonal AC. It cuts the shaded area in two congruent parts of equal areas.
Each part is a quarter of the circle of the radius 4 cm minus the area of the isosceles
right angle triangle with the leg size of 4 cm.
So, the shaded area is
= = 8*3.14159265-16 = 9.132741cm^2. ANSWER