Question

The adjoining 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. . ​

Answer 1

Answer:

The Area of whole land = 10m × 5 m = 50 meter sq

The are of whole flower bed = 3.14 × 2 × 2 = 12.56 m sq

The area of lawn excluding area of flower bed = 37.44 m sq

The Circumfrence of flower bed = 12.56 m sq

Answer 2

Given Question:

• The adjoining figure represents a Rectangular lawn with a circular flower bed in the middle

To Find:-

• Area of whole land.
• Area of flower bed.
• Area of lawn excluding area of flower bed.
• Circumference of flower bed.

Understanding the Question:

The Questions say that the Attachment shows the Rectangular lawn with circular Flower bed that places in the middle of the rectangular lawn . According to given Question , we have to find the area of whole land means the area of Rectangular lawn . By using the formula of Area of Rectangle ! we will find the area of whole lawn then To find the area of Circle. because radius is given so. after it ! To find the area of lawn excepting the area of flower bed so, we will subtract the Value that we have find . then to find circumference of flower bed.

Formula to be used:-

• Area of Rectangle = $\frak\pink{~Length \times breadth}$

• Area of Circle = $\frak\pink{ \pi r²}$

• Circumference of circle = $\frak\pink{~2 \pi r}$

Solution:

(i) the area of the whole land

Ans:

First, We have to find the area of Rectangular lawn so, we will use the formula of Area of Rectangle.

$:\implies\sf{~Length ~= 10m}$

$:\implies\sf{~Breadth ~= 5cm}$

$:\implies\sf{~Area~of~Rectangle = Length \times Breadth }$

$~~~~~~~~~~~~~~:\implies \sf{10 \times 5 }$

$~~~~~~~~~~~~~~:\implies \sf\orange{ 50m² }$

Hence, The area of Rectangular lawn is 50m²

(ii) the area of the flower bed

Ans:

Now, To find the area of flower bed so, we will use the formula of Area of Circle.

$\begin{gathered}:\implies\sf{~Radius = 2m}\\\\\\\: :\implies\sf{~Area~of~Circle =~ \pi r² }\\\\\\\: :\implies\sf {~ 3.14 × 2 × 2} \\ \\ \\ :\implies\sf{ 12.56m²}\end{gathered}$

$\therefore$ ${\underline {\frak{~12.56m² ~is~the~area~of~Flower~bed}}}$

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

Ans:

Here, we will subtract the area of Rectangle with area of circular flower bed So,

$:\implies\sf{~Lawn ~in~ Excluding ~Circle = 50 - 12.56}$

$:\implies\sf{~37.44m²}$

Area of the lawn excluding the area of the flower bed is 37.44m²

(iv) the circumference of the flower bed.

Ans: The radius of the given circle is 2 cm so,

$:\implies\sf{~Circumference ~of~Circle = 2 \pi r}$

$:\implies\sf {~ 2 \times 3.14 \times 2 }$

$:\implies\sf {~ 12.56m }$

$\therefore$ The circumference of Circle is 12.56m

Additional Information:

• Perimter of Square = 4 × Side
• Perimter of Rectangle = 2 × (L + B)
• Perimter (Circumference) of Circle = ${2 \pi r}$
• Area of Sqaure = Side × Side or Side²
• Area of Rectangle = Length × Breadth
• Area of Circle = ${ \pi r²}$.