Question

the area of a circular plot is 39424m². calculate the cost of fencing the plot at the rate of₹6 per metre?​

Answer 1

Given :-

area of the circular plot = 39424m²

we know that,

⇒ πr² = area of a circle

so we can write,

⇒ πr² = 39424m²

⇒ 22/7 * r² = 39424m²

⇒ r² = 39424/1 * 7/22

⇒ r² = 1792 * 7

⇒ r² = 12544

⇒ r = √12544

⇒ r = 112m

the radius of the circular plot is 112m.

now, we've to find the ost of fencing the plot @ of rupees 6 per meter.

so first of all, we needa find the circumference of the circular plot.

formula to find the circumference of a circle is 2πr

therefore total cost of fencing is = 2πr * 6

= 2 * 22/7 * 112 * 6

= 2 * 22 * 16 * 6

= rupees 4224

hence, the total cost of fencing the circular plot is rupees 4224.

Answer 2

• Area of circular field is 39424 cm².

____________ [ GIVEN ]

• We have to find the cost of fencing the plot at the rate of Rs. 6 per m².

_____________________________

We know that..

》 Area of circle = $\pi$r²

=> 39424 = 22/7 × r²

=> (39424 × 7)/22 = r²

=> 275968/22 = r²

=> 12544 = r²

=> r² = 12544

=> r = 112 m

_____________________________

Now..

》 Circumference of circle = 2$\pi$r

=> 2 × 22/7 × 112

=> 6.28571 × 112

=> 703.99

=> 704 (approx.)

For fencing the plot at the rate of Rs. 6 per m².

=> 704 × 6

=> Rs. 4224

______________________________

Rs. 4224 is the total cost for fencing the rectangular field.

______________ [ ANSWER ]

______________________________