In the given figure, ABCD is a piece of cardboard in the shape of trapezium in which AB || DC, ∠ABC = 90°. From this piece, quarter circle BEFC is removed. Given DC = BC = 4.2 cm and AE = 2 cm. Calculate the area of the remaining piece of the cardboard.
Mensuration
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Question

In the given figure, ABCD is a piece of cardboard in the shape of trapezium in which AB || DC, ∠ABC = 90°. From this piece, quarter circle BEFC is removed. Given DC = BC = 4.2 cm and AE = 2 cm. Calculate the area of the remaining piece of the cardboard.

Mensuration

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KnowledgeBoat · Accepted Answer

Given, AB ∥ DC ∠ABC = 90° DC = 4.2 cm BC = 4.2 cm AE = 2 cm Quarter circle BEFC is removed. Since it is a quarter circle with centre at B: So, radius = BC = 4.2 cm From figure, AB = AE + EB AB = 2 + 4.2 = 6.2 cm. Calculating the area of trapezium ABCD, Calculating the area of quarter circle, From figure, Area of remaining piece of cardboard = Area of trapezium - Area of quarter circle = 21.84 - 13.86 = 7.98 cm2. Hence, area of remaining piece of cardboard = 7.98 cm2.

Mathematics

In the given figure, ABCD is a piece of cardboard in the shape of trapezium in which AB || DC, ∠ABC = 90°. From this piece, quarter circle BEFC is removed. Given DC = BC = 4.2 cm and AE = 2 cm. Calculate the area of the remaining piece of the cardboard.

Mensuration

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