Question 13 Marks
The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre ?
Answer
View full question & answer→Radius of the circular garden $(r)=56 m$
$\therefore$ Circumference of the circular garden $( c )=2 \pi r$
$=2 \times \frac{22}{7} \times 56$
$=352 m$
$\therefore$ Length of the wire required to put 1 -round fence $=$ Circumference
$\therefore$ Length of wire required to put a 4-round fence $=4 x$
Circumference
$=4 \times 352$
$=1408 m$
$\therefore$ Cost of wire per meter $=$ Rs 40
$\therefore$ Total cost $=$ length of wire required $x$ cost of the wire
$=1408 \times 40$
$=$ Rs 56320
$\therefore$ The cost to put a 4-round fence around the garden is Rs 56320 .
$\therefore$ Circumference of the circular garden $( c )=2 \pi r$
$=2 \times \frac{22}{7} \times 56$
$=352 m$
$\therefore$ Length of the wire required to put 1 -round fence $=$ Circumference
$\therefore$ Length of wire required to put a 4-round fence $=4 x$
Circumference
$=4 \times 352$
$=1408 m$
$\therefore$ Cost of wire per meter $=$ Rs 40
$\therefore$ Total cost $=$ length of wire required $x$ cost of the wire
$=1408 \times 40$
$=$ Rs 56320
$\therefore$ The cost to put a 4-round fence around the garden is Rs 56320 .