Question

If there is a rectangular lawn of length 12 m and breadth 6 m with a circular flower bed of radius 2 m in the middle then the area of the lawn, excluding the area of the flower bed is: (π = 3.14)

Answer 1

Answer:

59.44 m²

Step-by-step explanation:

Length of the rectangular lawn = 12 m

Breadth of the rectangular lawn = 6 m

∴ Area of the rectangular lawn (whole land) =

Length of the rectangular lawn × Breadth of the rectangular lawn = (12 × 6) m²

= 72 m²

Area of the flower bed (circle) = πr² = 3.14 × 2²

= 3.14 × 4

= 12.56 m²

Hence, Area of the lawn excluding the area of the flower bed = 72 - 12.56 m²

= 59.44 m²

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Answer 2

Given :

• There is a rectangular lawn of length 12 m and breadth 6 m.
• Along with it is a circular flower bed of radius 2 m in the middle.

To Find :

The area of the lawn excluding the flower bed.

Solution :

Analysis :

Here we first have to find the area of the rectangle and then the area of the circle. After getting both the areas we will subtract the area of circle from the area of the rectangle.

Required Formula :

• Area of rectangle = Length × Breadth

• Area of circle = πr²

where,

• r = Radius

Explanation :

Area of rectangular lawn :

We know that if we are given the length and breadth of the rectangle and is asked to find its area then our required formula is,

Area of rectangle = Length × Breadth

where,

• Length = 12 m
• Breadth = 6 m

Using the required formula and substituting the values,

⇒ Area of rectangle = Length × Breadth

⇒ Area of rectangle = 12 × 6

⇒ Area of rectangle = 72

∴ Area of rectangle = 72 m².

Area of circular flower bed :

We know that if we are given the radius of the circle and is asked to find its area then our required formula is,

Area of circle = πr²

where,

• π = 3.14
• r = 2 m

Using the required formula and substituting the values,

⇒ Area of circle = πr²

⇒ Area of circle = 3.14 × 2 × 2

⇒ Area of circle = 12.56

∴ Area of circle = 12.56 m².

Now,

Area of lawn excluding the flower bed = Area of lawn - Area of flower bed

where,

• Area of lawn = 72 m²
• Area of bed = 12.56 m²

Substituting the values,

⇒ Area = Area of lawn - Area of flower

bed

⇒ Area = 72 - 12.56

⇒ Area = 59.44

∴ Area = 59.44 m².

Area of the lawn excluding the area of flower bed is 59.44 m².