Math, asked by saqibsaeedansari, 1 month ago

Area of circular field 74536cm? Find the circumference of circle (Take π 22÷7)​

Answers

Answered by DaiwikPatel130806
6

Step-by-step explanation:

Area of the circular field = 74536 cm² (Given)

Area of circle = πr²

πr²=74536  (π = 22/7)

\frac{22}{7} *r^{2} =74536\\r^{2} =\frac{74536*7}{22} \\r^{2} =\frac{521752}{22}\\r^{2} =23716\\r=\sqrt{23716} =154\\r=154

Radius = 154 cm

Circumference = 2πr

2*\frac{22}{7} *154=2*22*22=968

∴ Circumference of circle = 968 cm

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Answered by Swarup1998
4

Given data:

Area of a circular field is 74536 square cm

To find:

The circumference of the circle

Step-by-step explanation:

Let the radius of the circle be r

Since the area of the circle is 74536 square cm, we can write

\quad \pi r^{2}=74536 (in numerals)

\Rightarrow \dfrac{22}{7}r^{2}=74536\quad [\because \pi=\dfrac{22}{7}]

\Rightarrow r^{2}=74536\times \dfrac{7}{22}

\Rightarrow r^{2}=23716

\Rightarrow r^{2}=154^{2}

\Rightarrow r=154 since r>0

So the radius of the circle is 154 cm.

Therefore the circumference of the circle

=2\pi r

=2\times \dfrac{22}{7}\times 154 cm

=968 cm

Answer:

The circumference of the circle is 968 cm.

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