A circular garden has an area of 25π m2
If the .
radius is increased by two meters, and fencing is
sold only in one meter sections, how much fencing
is needed to keep out the rabbits?
114
how did you get 114???
The radius of the garden before change=5(since 5x5=25). 5+2=7, which is the new radius of the garden.
To get the amount of fencing needed, you first need to find the diameter and the resulting circumference.
D=2r, r=7, therefore D=14. C=D¥ð, so the circumference is 14¥ð.
That's about 43.9 meters.
Therefore you need 44 meters of fences, which is 44 fences.
To find out how much fencing is needed to keep out the rabbits, we can start by calculating the circumference of the garden. The circumference is the distance around the circular boundary of the garden.
The area of the garden is given as 25π m^2. The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius. So we have:
25π = πr^2
To find the radius, we can take the square root of both sides of the equation:
√(25π) = √(πr^2)
√(25π) = r
r = 5
So, the radius of the garden is 5 meters.
If the radius is increased by 2 meters, the new radius is 5 + 2 = 7 meters.
Now we can calculate the circumference using the formula C = 2πr, where C is the circumference and r is the radius:
C = 2π(7)
C ≈ 44 meters
Since the fencing is sold in one-meter sections, the total length of fencing needed to keep out the rabbits is approximately 44 meters.