Question

Circumfrence of field is 154m .fimd its area

Answer 1

Hey dear friend

=>Circumference of a field =2πr
=> 154=2*22/7*r
=>154*7/22=2r
=>7*7=2r
=> 49/2=r
=>r=24.5m

Area of a circle=πr²
Area of a circle=22/7*(24.5)²
Area of a circle=22*85.75
Area of a circle=1886.5m²

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Answer 2

Given :

• Circumference = 154 m
• Shape = circular

To Find :

• Radius of the field
• Area of the field

Solution :

$\large \boxed{ \tt Circumference \: of \: circle = 2\pi r }\\ \\ \tt \implies2 \times \frac{22}{7} \times r = 154 \\ \\ \tt \implies r = \cancel{154} \times \frac{7}{ \cancel{22}} \times \frac{1}{2} \\ \\ \tt \implies r = 7 \times 7 \times \frac{1}{2} \\ \\ \tt \implies \underline{ r= 24.5 \: cm}$

$\large\boxed{\tt Area \: of \: circle = \pi {r}^{2}} \\ \\ \tt \implies \frac{22}{7} \times 24.5 \times 24.5 \\ \\ \tt \implies \frac{22}{7} \times 600.25 \\ \\ \tt \implies22 \times 85.75 \\ \\ \tt \implies1886.5 \: {cm}^{2} \\ \\ \large \underline{\tt \green{ area \: of \: circle \: is \: 1886.5 \: {cm}^{2} }}$