Question

4. The diameter of a circular garden is 220 m. Find the area of the garden.
[Take t = 3.14] for 7th classes​

Answer 1

Answer:

Given that diameter of a circular garden d = 220m.  

Then the radius of the circular garden r = d/2  

                                                                  = 220/2  

                                                                  = 110m.  

Therefore the area of the garden = pi (r)^2  

                                                     = 22/7 × (110)^2  

                                                       = 22/ 110  

                                                       = 296032/7

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Answer 2

AnswEr-:

• $\mathrm {\bf{\star{\underline {\pink{ \:Area \:of\:Circular \:Garden \:is\:37,994m^{2}}}}}}$

Explanation-:

$\mathrm {\bf{ Given-:}}$

• The Diameter of Circular Garden is 220 m .

• $\pi$ = 3.14

$\mathrm {\bf{To\:Find -:}}$

• The Area of Circular Garden.

$\mathrm {\bf{\dag{ Solution \:of\:Question \:-:}}}$

• $\underbrace {\mathrm {\bf { Understanding \:the\: Concept \:-:}}}$

• We have to find the Area of Circular Garden when Diameter of Circular garden is given .

• Firstly Convert The Diameter of the Circular Garden to the Radius of The Circular Garden by putting the Diameter in the Formula for Radius of Circle.

• By Putting Radius of Circular Garden in the Formula for Area of Circle and then We can get ,

• The Area of Circular Garden.

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$\mathrm {\bf{\dag{\underline {Finding \:Radius \:of\:Circular \:Garden \:-:}}}}$

As , We Know that ,

• $\underline{\boxed{\star{\sf{\red{ Radius_{(Circle)}  \: = \: \dfrac{Diameter}{2} units }}}}}$

$\mathrm {\bf{ Here-:}}$

• The Diameter of Circular Garden is 220 m .

Now By Putting known Values in the Formula for Radius of Circle-:

• $\qquad\quad\quad:\implies { \mathrm {Radius \:= \dfrac{220}{2} }}$

• $\qquad\quad\quad:\implies { \mathrm {Radius \:= \dfrac{\cancel {220}}{\cancel {2}} }}$

• $\qquad\quad\quad:\underline{\boxed { \frak{\pink {Radius \:= 110 m }}}}$

Therefore,

• $\mathrm {\bf{\star{\underline { \:Radius \:of\:Circular \:Garden \:is\:110m}}}}$

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$\mathrm {\bf{\dag{\underline {Finding \:Area\:of\:Circular \:Garden \:-:}}}}$

As , We Know that ,

• $\underline{\boxed{\star{\sf{\red{Area _{(Circle)}  \: = \: \pi \times Radius ^{2} \:sq.units }}}}}$

$\mathrm {\bf{ Here-:}}$

• The Radius of Circular Garden is 110 m .

• $\pi$ = 3.14

Now By Putting known Values in the Formula for Area of Circle-:

• $\qquad\quad\quad:\implies { \mathrm {Area\:= 3.14 \times (110)^{2} }}$

• $\qquad\quad\quad:\implies { \mathrm {Area\:= 3.14 \times 110\times 110 }}$

• $\qquad\quad\quad:\implies { \mathrm {Area\:= 3.14 \times 12,100 }}$

• $\qquad\quad\quad:\underline{\boxed { \frak{\pink {Area \:= 37994 m^{2} }}}}$

Hence ,

• $\mathrm {\bf{\star{\underline {\pink{ \:Area \:of\:Circular \:Garden \:is\:37,994m^{2}}}}}}$

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$\large{\boxed {\mathrm |\:\:{\underline {More \:To\:know\:-:}}\:\:|}}$

• Area of Rectangle = Length × Breadth sq.units

• Area of Square = Side × Side sq.units

• Area of Triangle = ½ × Base × Height sq.units

• Area of Trapezium = ½ × Height × (a + b) or Sum of Parallel sides sq.units

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