Question

8.
For a project work, a student uses a rectangular ca
as shown in figure with AB = 14cm. BC = 7cm. By a pour
uent uses a rectangular card board ABCD
.
she cuts a quarter circle BFEC, and semi circle De
NEC, and semi circle DGE from it and
uses the remaining part in making a cap. Calculate the area
remaining part of the rectangle. Suggest your opinions on Stude
idea.​

Answer 1

Answer:

Step-by-step explanation:

Area of rectangle =

AB X BC

98cm square

Area of remaining = area of rectangle-(area of quadrant +ar of semi circle)

=98-(¼ x 22/7 ×BC² + ½ ×22/7 × ½ DE²)

[because DE = DIAMETER OF SEMI CIRCLE =7.]

so ½DE=7/2and BC=7

=98 - {¼×22/7×(7)² + ½×22/7×(7/2)²}

=98- (77/2+77/4)

=98-(231/4)

=98-57.75=40.25cm²

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