Question

Calculate the area of the shaded region in fig. 5.

Answer 1

Answer:

area of the shaded region is

$\sqrt{132(132 - 120)(132 - 122)(132 - 22)} - \sqrt{36(36 - 26)(36 - 24)(36 - 22)} \\ = \sqrt{132 \times 12 \times 10 \times 110} - \sqrt{36 \times 10 \times 12 \times 14} \\ = \sqrt{11 \times 12 \times 12 \times 11 \times 10 \times 10} - \sqrt{6 \times 6 \times 5 \times 2 \times 6 \times 2 \times 7 \times 2} \\ = 1320 - 6 \times 2 \times \times 2 \sqrt{5 \times 7 \times 3} \\ = 1320 - 24 \sqrt{105} \\ = 1320 - 245.93 \\ = 1074.07$