SOLUTION: ABCD is a square with sides 9cm. Arcs of radius 9cm are drawn with centres at B and D. Find the area of the shaded region. Example of diagram: https://imgur.com/a/6L1TecL

Algebra ->  Surface-area -> SOLUTION: ABCD is a square with sides 9cm. Arcs of radius 9cm are drawn with centres at B and D. Find the area of the shaded region. Example of diagram: https://imgur.com/a/6L1TecL      Log On


   



Question 1149601: ABCD is a square with sides 9cm. Arcs of radius 9cm are drawn with centres at B and D. Find the area of the shaded region.
Example of diagram: https://imgur.com/a/6L1TecL

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Draw diagonal AC, dividing the shaded region into two congruent pieces.

The area of each of those pieces is the difference between the areas of (a) a quarter circle with radius 9 and (b) an isosceles right triangle with legs of length 9.

You can do the calculations....