7. The cost of fencing a circular garden at the rate of 25 per metre is 5500. Find the radius of the garden
Answers
Given:-
- The cost of fencing a circular garden at the rate of 25 per metre is 5500.
To Find:-
- Find the radius of the garden.
Concept:-
- Firstly let's understand the concept used here.It is Circumference of a circle.As we know,fencing is done throughout the round.So,we should find the perimeter.Substitute the values in the equation.Then,from it we can find the radius.
Solution:-
Let the circumference of the circle be Ym.
1m = Rs 25
So,
☞Ym = 25Y
According to the Question we have!!
25y = 5500
y = 5500/25
y = 220
y = 220m
☞Perimeter = 220m.
Circumference of circle = 2πr
= 2 × 22/7 × r = 220
= 44/7r = 220
= r = 220 × 7/44
= r = 35.
Therefore,
☞The radius of the circular garden is 35m.
Verification:-
Circumference = 2πr
r = 35
2 × 22/7 × 35 = 220
44/7 × 35 = 220
220 = 220
LHS = RHS
Hence,
☞It is verified.
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Answer:
Given:-
The cost of fencing a circular garden at the rate of 25 per metre is 5500.
To Find:-
Find the radius of the garden.
Concept:-
Firstly let's understand the concept used here.It is Circumference of a circle.As we know,fencing is done throughout the round.So,we should find the perimeter.Substitute the values in the equation.Then,from it we can find the radius.
Solution:-
Let the circumference of the circle be Ym.
1m = Rs 25
So,
☞Ym = 25Y
According to the Question we have!!
25y = 5500
y = 5500/25
y = 220
y = 220m
☞Perimeter = 220m.
Circumference of circle = 2πr
= 2 × 22/7 × r = 220
= 44/7r = 220
= r = 220 × 7/44
= r = 35.
Therefore,
☞The radius of the circular garden is 35m.
Verification:-
Circumference = 2πr
r = 35
2 × 22/7 × 35 = 220
44/7 × 35 = 220
220 = 220
LHS = RHS
Hence,
☞It is verified.
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