Math, asked by Anonymous, 9 months ago

in the given figure the area of shaded region is?​

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Answered by DrNykterstein
6

lime CD is parallel to the line BA, so

BAD + CDA = 180° { co-interior angles }

==> BAD = 180° - 60° { given , CDA = 60° }

==> BAD = 120°

Now we need to the find the area of the shaded region ( or the sector PQ)

Given, radius of the sector = PA = 3 cm

We know,

 \sf \quad  \boxed{ \sf Area \:  of  \: Sector = \pi  {r}^{2} \frac{ \theta}{360}   }

So,

==> Area of shaded region = 22/7 × 3² × 120/360

take, π = 22/7

==> 22/7 × 9 × 1/3

==> 22/7 × 3

==> 66/7 cm²

Hence, area of the shaded region is 66/7 cm²

Answered by Anonymous
1

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