In the given fig., ABCD is a trapezium with AB||CD and , ∠BCD = 60°, If BFEC is a sector of a circle with centre C and AB = BC = 7 cm and DE = 4 cm,then find the area of the shaded region. (use π = 22/7) (√3 =1.732).
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Edited (Sorry! Mistakes are fixed. Please check my answer again.)
is a right triangle, right-angled at and .
In the right triangle
Since the point lies on
Now let's find our answer.
By area formula of a trapezium
We already found the area of the circular sector
Hence
Approximately
Rounding off at the fourth decimal point
The approximated area is 28.891 cm².
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