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प्रश्न
In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).
उत्तर
We have to find the area of the shaded portion. We have`ΔABC`which is an equilateral triangle and`AB=6 cm`. Let r be the radius of the circle.
We have O as the circumcentre.
`∠OBA=30°`
So,
`Cos (30°)=3/r`
Thus, r=`2sqrt3`
So area of the shaded region,
=Area of the circle-ar(ΔABC)
`=(3.14)(2sqrt3)^2-sqrt3/4(6)^2`
`=(37.68-15.59)cm^2`
`= 22.126cm^2`
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