Question

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Answer 1

Question :-

The given figure represents a rectangular lawn of length 12m and breadth 6m with a circular flower bed of radius 2m. Find :

(i) The area of the flower bed

(ii) The circumference of the flower bed

(iii) The area of the lawn

(iv) The area of the lawn excluding the flower bed

Given :-

• The length of the lawn = 12m
• The breadth of the lawn = 6m
• The radius of the flower bed = 2m

Answers :-

1. The area of the flower bed

Since the flower bed is circular, the formula to use is :-

Area of circle = $\pi r^{2}$ (r being the radius)

Substituting the value,

Area :-

=> $\dfrac{22}{7} \times (2)^{2}$

=> $\dfrac{22}{7} \times 4$

=> $\dfrac{88}{7}m^{2}$

2. The circumference of the flower bed

The formula to use :-

Circumference of circle = $2\pi r$

Substituting the values,

Circumference :-

=> $2 \times\dfrac{22}{7} \times 2$

=> $\dfrac{88}{7} m^{2}$

3. The area of the lawn

The lawn is rectangular in shape of rectangle.

Hence,

Area of lawn = Length × Breadth

Area :-

=> 12 × 6

=> 72m²

4. The area of the lawn excluding the flower bed

The area of the lawn excluding the flower bed is :-

=> $72 - \dfrac{88}{7}$

=> $\dfrac{504-88}{7}$

=> $\dfrac{416}{7} m^{2}$

Hope it helps!

Happy day!