Question

In a rectangular garden, (as shown in the figure) there are two similar circular flower beds each of radii 4m inside it
.(i) Find the area of the circular flower beds
(ii) What is the perimeter of the rectangular garden?

Answer 1

Answer:

In a rectangular garden, (as shown in the figure) there are two similar circular flower beds each of radii 4m inside it

• The area of the circular flower beds is 25.12 sq. m.
• The perimeter of the rectangular garden is 48 cm.

Step-by-step explanation:

Step 1: Find the area of the circular flower beds.

Radii of circular flower beds = 4m

The area of the circular flower bed = $\pi r^2$

$= 3.14 \times 4\\= 12.56 sq.m.$

Here are two similar circular flower beds.

So the area of the circular flower beds = 2 × 12.56 = 25.12 sq. m.

Step 2: The perimeter of the rectangular garden

radius = 4 m

diameter = 4(2) = 8 m

Length of rectangle = 2 (diameter)

= 2(8)

= 16 cm

Breadth of rectangle = diameter = 8 m

The perimeter of the rectangular garden = 2(Length + breadth)

= 2(16 + 8)

= 2(24)

= 48 cm.

So, The perimeter of the rectangular garden is 48 cm.