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SAI International School
CLASS-VII

Mathematics
CHAPTER-11: Area and Perimeter
Home Assessment-4

1) Find the area of the following circles, given that:(a) Radius = 14 mm

(Take π = 22/7)
2) A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of
side6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)

3) From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the
area of the remaining sheet. (Take π = 3.14)

4) A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower
bed is 66 m. What is the area of this path? (π = 3.14)

2
5) A circular flower garden has an area of 314 m . A sprinkler at the centre of the
garden can cover an area that has a radius of 12 m. Will the sprinkler water the
entire garden? (Take π = 3.14)

Answers:

2
1) Area of the circle = πr
2
= 616 mm
2)The area of the remaining part = Area of aluminium square sheet – area of circle
= 36 – 12.56

2
= 23.44 cm
2
3) The area of the remaining sheet = πR – πr 2
2
The area of the remaining sheet is 21.98 cm .
4) Area of the path = Area of the flower bed and path together – Area of flower bed

= 4298.66 – 3419.46

2
= 879.20 m