What is the area of shaded region in the figure shown?

149 Views Asked by At

Is there any geometric solution for this problem?

enter image description here

1

There are 1 best solutions below

0
On

From $\triangle BCD$, (1) get $BC = 4 \sqrt 3$ and (2) get $[\triangle BCD] = ([2] + [3]) = 8 \sqrt 3$.

enter image description here

Let arc AC cut BD at X. From $\triangle ODX$, get [1] using sine law and area formula.

[2] = [sector OCX] – [1].

[3] = ([2] + [3]) – [2].

Find [s] by simple subtraction.