CTET 2 Math and Science 7 Jan 2022 Paper

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Question : 41 of 150

Marks: +1, -0

The area of a circular field is

15400 {\m}^2

. What is the cost of fencing the field at Rs.

12.50

per

{\m}

? (take

π=\;{22}/{7}

)

Rs. 6600
Rs. 8800
Rs. 5500
Rs. 4400

Solution:

Area of the circle

=15400

⇒ π {\r}^2=15400

⇒ {\r}=√{ }(15400 × 7 \/ 22)

⇒ {\r}=70 {\m}

\;\text " Perimeter of the circle "\;=2 π {\r}

⇒ 2 × 22 \/ 7 × 70

⇒ 440 {\m}

The cost of fencing the field at Rs.

12.50

per

{\m}

⇒ 440 × 12.50

⇒ \;\text " Rs. "\; 5500

∴

The cost of fencing the field at rs. 5500 .

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