3)Two circular pieces of equal radii and maximum area, touching each other are
cut out from a rectangular card board of dimensions 14 ×7 . Find the area
of the remaining card board. [Use =22/7]
4. If the area of a circle is equal to sum of the areas of two circles of diameters 10
and 24 , then the diameter of the larger circle (in ) is:
A) 34 B) 26 C) 17 D) 14
5. In figure, three sectors of a circle of radius 7 , making angles of 60°,80°,40°
at the centre are shaded. The area of the shaded region (in 2) is [Using =227]
A) 77 B) 154 C) 44 D) 22
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Answer:
Length of a rectangle(l)= 14 cm
Breadth of a rectangle(b)= 7 cm
Diameter of 1 circle = 7cm
Radius of 1 circle(r)= 7/2 cm
Area of the remaining cardboard= Area of rectangular cardboard - 2× Area of circle
Area of the remaining cardboard= l× b - 2 (πr²)
Area of the remaining cardboard=(14×7)-2×(22/7)×(7/2)²
Area of the remaining cardboard=98 - (44/7)(49/4)
= 98 - 77
= 21 cm²
Hence, the Area of the remaining cardboard= 21 cm²
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