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From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the adjoining figure). Find the area of the remaining sheet. ( Take π = 22/7)

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NCERT Solutions for Class 7 Mathematics Chapter 11
Important NCERT Questions
Class vii Math Chapter 11 Perimeter and Area Exercise 11.3
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 10

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1 Answer

  1. Radius of circular sheet (R) = 14 cm and Radius of smaller circle (r) = 3.5 cm
    Length of rectangle (l) = 3 cm and breadth of rectangle (b) = 1 cm
    According to question,
    Area of remaining sheet=Area of circular sheet– (Area of two smaller circle + Area
    of rectangle)
    = πR² – [2(πR²) + (lxb)
    = 22/7x14x14 – [(2×22/7×3.5×3.5)-(3×1)]
    = 22 x 14 x 2 – [44 x 0.5 x 3.5 + 3]
    = 616 – 80
    = 536 cm²
    Therefore the area of remaining sheet is 536 cm².

    Class 7 Maths Chapter 11 Exercise 11.3

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-11/

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