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Find the area of the shaded region in th...

Find the area of the shaded region in the figure given below:

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The correct Answer is:
384 `cm^(2)`
`AB^(2)={(16)^(2)+(12)^(2)}cm^(2) = (256 + 144)cm^(2) = 400 cm^(2) rArr AB = sqrt(400)cm = 20 cm`.
The sides of `Delta ABC` are 20 cm, 48 cm, 52 cm. Find its area.
Area of the shaded region = area (`Delta` ABC) - area (`Delta` ADB).
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Knowledge Check

  • The area of the shaded region in the figure given below is

    A
    `(a^2 )/(2) ((pi )/(2) -1)` sq. units
    B
    `a^2 ( pi-1 )` sq . Units
    C
    `a^2 ((pi)/(2) -1) ` sq . Units
    D
    `(a^2)/(2) - (pi -1) ` sq . Units

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