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
pi r^2 = 25 pi so r = 5
then new r = 7
2 pi r = 14 pi
call pi about 22/7
so 2 pi r = 44 meters
To calculate the amount of fencing needed to keep out the rabbits, you need to determine the perimeter of the circular garden.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the area is given as 25π m^2. Therefore, we can solve for the radius:
25π = πr^2
25 = r^2
r = √25
r = 5
The original radius of the circular garden is 5 meters.
If the radius is increased by two meters, the new radius becomes 5 + 2 = 7 meters.
Now, let's calculate the perimeter of the circular garden with the new radius. The formula for the perimeter of a circle is P = 2πr, where P is the perimeter and r is the radius:
P = 2π * 7
P = 14π
Since the fencing is sold in 1 meter sections, you will need 14π meters of fencing to keep out the rabbits.
To find out how much fencing is needed to keep out the rabbits, we need to calculate the circumference of the circular garden.
The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.
Given that the circular garden has an area of 25π m^2, we can find the radius using the formula for the area of a circle, which is A = πr^2. Rearranging the formula, we get r = √(A/π).
Substituting the given area of the circular garden, we have r = √(25π/π) = 5 meters.
If the radius is increased by two meters, the new radius will be 5 + 2 = 7 meters.
Now we can calculate the circumference of the circular garden with the new radius. Using the formula C = 2πr, we get C = 2π(7) = 14π meters.
Since fencing is sold only in one meter sections, the amount of fencing needed to keep out the rabbits is equal to the circumference of the circular garden. Therefore, the answer is 14π meters of fencing.