Question

A HORSE IS TIED TO A POLE WITH 21m LONG STRING. FIND THE AREA WHERE THE HORSE CAN GRAZE ?


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Answer 1

$\: \: \small{\underline{ \green{\tt{\: Given:- \: \: }}}}$

❐Length of the string = 21m

$\: \: \small{\underline{ \green{\tt{\: Find:- \: \: }}}}$

❐Total area horse can graze

$\: \: \small{\underline{ \green{\tt{\: Solution:- \: \: }}}}$

$\Rrightarrow$ Area grazed by horse = Area of circle

we, know that

$\large{\underline{\boxed{ \red{\tt Area \: of \: circle = \pi {r}^{2}}}}}$

where,

• Radius, r = 21m
• π = $\tt \dfrac{22}{7}$

So,

$\dashrightarrow\tt Area \: of \: circle = \pi {r}^{2}$

$\dashrightarrow\tt Area \: of \: circle = \dfrac{22}{7} \times {(21)}^{2}$

$\dashrightarrow\tt Area \: of \: circle = \dfrac{22}{7} \times 441$

$\dashrightarrow\tt Area \: of \: circle = \dfrac{9702}{7}$

$\dashrightarrow\tt Area \: of \: circle = 1386 {m}^{2}$

$\small{\therefore\mathfrak{ \pink{\underline{Area \: of \: circle = 1386 {m}^{2}}}}}$

✄┈┈┈┈┈┈┈┈┈┈—————————–✄

Hence, Horse can graze 1386 sq. m area

Answer 2

$\: \: \small{\underline{ \green{\tt{\: Given:- \: \: }}}}$

Given:−

❐Length of the string = 21m

$\: \: \small{\underline{ \green{\tt{\: Find:- \: \: }}}}$

Find:−

❐Total area horse can graze

$</p><p>\: \: \small{\underline{ \green{\tt{\: Solution:- \: \: }}}} </p><p>Solution:−</p><p> </p><p>$

$</p><p>\Rrightarrow$

⇛ Area grazed by horse = Area of circle

we, know that

$\large{\underline{\boxed{ \red{\tt Area \: of \: circle = \pi {r}^{2}}}}}$

Areaofcircle=πr

2

where,

Radius, r = 21m

π =

$\tt \dfrac{22}{7}$

7

22

So,

$\begin{gathered}\dashrightarrow\tt Area \: of \: circle = \pi {r}^{2} \\ \\\end{gathered}$

⇢Areaofcircle=πr

2

$\begin{gathered}\dashrightarrow\tt Area \: of \: circle = \dfrac{22}{7} \times {(21)}^{2} \\ \\\end{gathered}$

⇢Areaofcircle=

7

22

×(21)

2

$\begin{gathered}\dashrightarrow\tt Area \: of \: circle = \dfrac{22}{7} \times 441\\ \\\end{gathered}$

⇢Areaofcircle=

7

22

×441

$\begin{gathered}\dashrightarrow\tt Area \: of \: circle = \dfrac{9702}{7}\\ \\\end{gathered}$

⇢Areaofcircle=

7

9702

$\begin{gathered}\dashrightarrow\tt Area \: of \: circle = 1386 {m}^{2} \\ \\\end{gathered}$

⇢Areaofcircle=1386m

2

$\begin{gathered}\small{\therefore\mathfrak{ \pink{\underline{Area \: of \: circle = 1386 {m}^{2}}}}} \\ \end{gathered}$

∴

Areaofcircle=1386m

2

✄┈┈┈┈┈┈┈┈┈┈—————————–✄

Hence, Horse can graze 1386 sq. m area