Question

Two circular pieces of equal radii and maximum area, touching each other are cut from a rectangular cardboard of dimensions 14 cm X 7 cm. find the area of the remaining cardboard.(Use π= 22/7)
(Class 10 Maths Sample Question Paper)

Answer 1

SOLUTION:
Given:

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

HOPE THIS WILL HELP YOU....

Answer 2

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

HOPE THIS WILL HELP YOU....

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