Question

the area of a circle is 13.86 hectares .find the cost of fencing it at the rate of 60 paise per metre .



plz plz plz solve this sum step by step ​

Answer 1

Given :-

Area of the circle = 13.86 hectares

We know that,

1 hectare = 10000m²

Therefore 13.86 hectares = 13.86 × 10000

= 138600m²

Now,

Area of a circle = πr²

So we can write,

➡ πr² = 138600m²

➡ 22/7 × r² = 138600m²

➡ r² = 138600/1 × 7/22

➡ r² = 6300

➡ r = √6300

➡ r = 79.3m (approximately)

Hence, total cost of fencing the circle @ 60 Paisa per meter = circumference of the circle × 60 Paisa

= 2πr × 60

= 2 × 22/7 × 79.3 × 60

= 209352/7 paisa

In rupees = 209352/7 × 1/100

= rupees 299 (approximately)

Answer 2

AnswEr :

⠀

$\huge \red{\boxed{ \bold{Rs.792}}}$

⠀

Explanation :

☑ Given :

• Area of Circle = 13.86 Hectares

• Cost of Fencing = 60 paise per metre

☑ To Find :

• Total Cost of Fencing that Circle.

☑ Solution :

✯ 1 Hectare = 10000 m²

✯ 13.86 Hectare = 13.86 × 10000

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 138600 m²

━━━━━━━━━━━━━━━━━━━━━━━━

➟ Area of Circle = πr²

➟ 138600 = $\large\tt{\frac{22}{7}}$ × r²

➟ r² = $\large\tt{\frac{(138600\times7)}{22}}$

➟ r² = 6300 × 7

➟ r² = 44100

➟ r = √44100

➟ r = 210 m

━━━━━━━━━━━━━━━━━━━━━━━━

➟ Circumference of Circle = 2πr

➟ Circumference = 2 × $\large\tt{\frac{22}{7}}$ × 210

➟ Circumference = 2 × 22 × 30

➟ Circumference = 1320 m

━━━━━━━━━━━━━━━━━━━━━━━━

★ Total Cost of Fencing @60 paise per metre.

➟ Circumference × Rate

➟ 1320 m × 60 paise

➟ 79200 paise

➟ Rs. $\large\tt{\frac{79200}{100}}$

➟ Rs. 792

$\huge{\red{\ddot{\smile}}}$