Mathematics High School

the cost of fencing a circular field at the rate of Rs 12. per metre is Rs 2640 . find the radius of the field

​

Answers

Answer 1

Radius = 35 m 

Step-by-step explanation:Given:

Cost of fencing circular field is Rs 2640 at rate of Rs 12 per metre.

To Find:

What is the radius of the circular field ?

Solution:

 Let the radius of circular field be r metre.

Here , if we'll divide the total cost by per metre cost of fencing then we'll get circumference of the circular field.

★ Circumference = Total cost/Cost per metre ★

➯ Circumference = 2640/12

➯ 220 m

As we know that , formula of circumference is

★ Circumference = 2πr ★

⟹ 220 = 2 × 22/7 × r⟹ 220 = 44/7 × r⟹ 220 × 7/44 = r⟹ 20 × 7/4 = r⟹ 5 × 7 = r⟹ 35 = r

Hence, the radius of circular field is 35 metre.

Answer 2

Answer:

Solution given:

total cost =Rs 2640

rate=Rs 12/metre

We have

circumference of circle =[tex] \frac{total cost}{rate} = \frac{2640}{12} [/tex]

2πr=220m

r=[tex] \frac{220}{2π} [/tex]=35.01

r=35m(approximately)

the radius of the field is 35m.

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