Final answer:
The total area of the rectangular lawn (66 cm²), resulting in 27.5 cm².
Step-by-step explanation:
The question asks us to calculate the area of the leftover lawn after placing a circular flower bed with a 7 cm diameter inside a rectangular lawn of 11 cm length and 6 cm breadth.
To find the area of the leftover lawn, we first calculate the area of the rectangular lawn using the formula length × breadth, which gives us 11 cm × 6 cm = 66 cm².
Next, we find the area of the circular flower bed using the formula πr² (where r is the radius of the circle), which is π × (7 cm / 2)².
Simplifying this gives us π × (3.5 cm)², which equals approximately 38.5 cm².
Finally, we subtract the area of the circular flower bed from the area of the rectangular lawn, which gives us 66 cm² - 38.5 cm² = 27.5 cm².
So, the area of the leftover lawn is 27.5 cm².