Q.9 The given 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) 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) Length of the lawn = 10 m

Breadth of the lawn = 5 m

Area of the lawn = l × b

=\( 10 m × 5 m = 50 m^2\)

(ii) Area of the circular flower bed = \(\pi r^2 \)

=\(\frac{22}{7} ×2×2=\frac{88}{7}m^2=12.57m^2 \)

(iii) Area of the lawn excluding the area of the flower bed

= \( 50m^2 - \frac{88}{7} m^2 = \frac{350-88}{7} m^2 = \frac{262}{7} \)
= \( 37. 43m^2 \)

(iv) circumference of the flower bed = 2\(\pi r \)

= \( 2 \frac{22}{7} ×2 m^2 = \frac{88}{7} m^2 = 12.57 m^2 \)