Question

Cost of ploughing at the rate of Rs. 10 per m^2 is Rs 1540. find the radius of circular field.
$( pi = 22 \7)$
​

Answer 1

Answer:

radius is 7 m

Step-by-step explanation:

One meter square cost is = 10 rs

total expenditure in ploughing = 1540rs

than area of land = 154 m

let the redius= r

formula for area of circle πr^2

ATQ

πr^2 = 154

22/7 * r^2 = 154

r^2 = 154*7/22= 49

r^2= 49

r= 7

regards

sahid

Answer 2

Given:

Cost of ploughing at the rate of Rs. 10 per m² is Rs. 1540.

To Find:

• Radius of circular field = ?

Solution:

$\\ :\implies\mathfrak{Area \: of \: field = \dfrac{\cancel{1540}}{\cancel{10}}} \\ \\ :\implies{\boxed{\mathfrak{\pink{Area \: of \: field = 154 {m}^{2} }}}} \: \bigstar$

Field is given to be circular.

$\mapsto\mathfrak{Radius \: of \: circular \: field = R \times m} \\ \\ \mapsto\mathfrak{area \: of \: field = \pi {R}^{2} {m}^{2} }$

Now,

$\\ \star \: \boxed{\sf{\purple{\pi {R}^{2} = 154}}} \\ \\ \\ :\implies\mathfrak{( \frac{22}{7} ) \: {R}^{2} = 154} \\ \\ \\ :\implies\mathfrak{ \frac{ {R}^{2} }{7} } \\ \\ \\ :\implies\mathfrak{ {R}^{2} = 7 \times 7} \\ \\ \\ :\implies\mathfrak{ {R}^{2} = {7}^{2} } \\ \\ \\ :\implies{\boxed{\mathfrak{\purple{R = 7}}}} \: \bigstar$

$\therefore{\underline{\sf{Radius \: of \: circular \: field \: is \: {\textsf{\textbf{7m}}}.}}}$