Mathematics Question and Solution
Notice!
The square side length is;
4+4+4
= 12 units.
Calculating Area Red.
Area quarter circle with radius 12 units - Area triangle with height and base 12 units respectively - Area quarter circle with radius 8 units + Area triangle with height and base 8 units respectively + Area quarter circle with radius 8 units - Area triangle with height and base 8 units respectively - Area quarter circle with radius 4 units + Area triangle with height and base 4 units respectively.
= ¼(π*12²)-½(12²)-¼(π*8²)+½(8²)+¼(π*8²)-½(8²)-¼(π*4²)+½(4²)
= 36π-72-16π+32+16π-32-4π+8
= 36π-72-4π+8
= 32π-64
= 32(π-2) square units.
