Q. 34.6( 7 Votes )

# The bottom side of the quadrilateral in the picture is a diameter of the circle and the top side is a chord parallel to it. Calculate the area of the quadrilateral.

Answer :

O is the centre of the circle.

CD is the diameter, CD = 5 cm

EF is the chord parallel to CD, EF = 3 cm

OG is perpendicular drawn on EF from O.

In ΔOGE we have,

∠OGE = 90° [∵ OG is perpendicular on EF]

OE = 5/2 = 2.5 cm [∵ Diameter = 5 cm]

EG = 3/2 = 1.5 cm [∵perpendicular drawn from centre bisects chord]

∴ Area of the quadrilateral,

= 8 cm^{2}

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