Question

find the perimeter of a garden having diameter 15.4m
​

Answer 1

Answer:

Perimeter= 15.4m

2πr= 15.4

2r= diameter= 15.4/3.14= 4.90m

Answer 2

Answer:

Given :-

• A garden having diameter 15.4 m.

To Find :-

• What is the perimeter of a garden.

Formula Used :-

$\clubsuit$ Perimeter Of Circle Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Perimeter_{(Circle)} =\: 2{\pi}r}}}\: \: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius

Solution :-

First, we have to find the radius :

Given :

• Diameter = 15.4 m

As we know that :

$\clubsuit$ Radius Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Radius =\: \dfrac{Diameter}{2}}}}\: \: \: \bigstar$

So,

$\implies \bf Radius =\: \dfrac{Diameter}{2}$

$\implies \sf Radius =\: \dfrac{15.4}{2}$

$\implies \sf\bold{\blue{Radius =\: 7.7\: m}}$

Hence, the radius of a garden is 7.7 m .

Now, we have to find the perimeter of a garden :

Given :

• Radius = 7.7 m

According to the question by using the formula we get,

$\implies \bf Perimeter_{(Garden)} =\: 2{\pi}r$

$\implies \sf Perimeter_{(Garden)} =\: 2 \times \dfrac{22}{7} \times 7.7$

$\implies \sf Perimeter_{(Garden)} =\: \dfrac{2 \times 22}{7} \times 7.7$

$\implies \sf Perimeter_{(Garden)} =\: \dfrac{44}{7} \times 7.7$

$\implies \sf Perimeter_{(Garden)} =\: \dfrac{44 \times 7.7}{7}$

$\implies \sf Perimeter_{(Garden)} =\: \dfrac{338.8}{7}$

$\implies \sf\bold{\red{Perimeter_{(Garden)} =\: 48.4\: m}}$

$\sf\bold{\purple{\underline{\therefore\: The\: perimeter\: of\: a\: garden\: is\: 48.4\: m\: .}}}$

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