The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.
Find:
(i) The area of the whole land
(ii) The area of the flower bed
(iii) The area of the lawn excluding the area of the flower bed
(iv) The circumference of the flower bed.
(i) It is given in the question that,
Length of land = 10
Breadth of land = 5
We know that,
Area of rectangle = Length × Breadth
∴ Area of whole land = 10 × 5
= 50 m2
(ii) Also, it is given in the question that:
Radius of flower bed = 2 m
We know that,
Area of flower bed = πr2
= 3.14 × 2 × 2
= 12.56 m2
(iii) Area of lawn excluding the flower bed = Area of whole land – Area of flower bed
= 50 – 12.56
= 37.44 m2
(iv) We know that,
Circumference of circle = 2πr
∴ Circumference of flower bed = 2 × 3.14 × 2
= 4 × 3.14
= 12.56 m2