Find the shaded area in the given circle, if its radius is 10 cm and Angle AOB = 90°. (pie = 3.14)(3 marks) question About the author Harper
In the mentioned circle, O is the centre and AO =BO = Radius = 10 cm AB is a chord which subtents 90 o at centre O, i.e., ∠AOB=90 o (i) Area of minor segment APB (Shaded region) = Area of Sector AOB – Area of △AOB =( 4 π×10×10 )−(0.5×10×10) =78.5−50 =28.5cm 2 (ii) Area of Major sector = Area of circle – Area of Sector AOB = (π×10×10)−( 4 π×10×10 ) =314−78.5 =235.5cm Reply
In the mentioned circle,
O is the centre and AO =BO = Radius = 10 cm
AB is a chord which subtents 90
o
at centre O, i.e., ∠AOB=90
o
(i)
Area of minor segment APB (Shaded region) = Area of Sector AOB – Area of △AOB
=(
4
π×10×10
)−(0.5×10×10)
=78.5−50
=28.5cm
2
(ii)
Area of Major sector = Area of circle – Area of Sector AOB
= (π×10×10)−(
4
π×10×10
)
=314−78.5
=235.5cm