A circular lily pond is surrounded by a gravel walkway that is 4 m wide. Calculate the area of the walkway if the pond is 12 m in diameter.
Area walkway=PI(10^2-6^2) think about outer and inner circles.
I am a number between 10 and 20 you can add 2 to me and get the number that is the sum of 7 & 9 what number am I?
since 7+9 = 16,
n+2 = 16
I expect you can figure out now what n is.
Thanks for all the help, really appreciate it.
14
To calculate the area of the walkway, you need to subtract the area of the circular pond from the area of the larger circle formed by the outer edge of the walkway.
Step 1: Calculate the radius of the pond
The diameter of the pond is given as 12 m. The radius (r) of a circle is half of its diameter, so the radius of the pond is 12/2 = 6 m.
Step 2: Calculate the area of the pond
The area of a circle can be calculated using the formula A = πr^2. Substituting the radius of the pond, we get A = π(6^2) = 36π.
Step 3: Calculate the radius of the larger circle formed by the outer edge of the walkway
Since the walkway surrounds the pond, the radius of the larger circle will be the sum of the pond radius and the width of the walkway. So the radius of the larger circle is 6 + 4 = 10 m.
Step 4: Calculate the area of the walkway
The area of the walkway can be calculated by subtracting the area of the pond from the area of the larger circle. Using the formula for the area of a circle, A = πr^2, the area of the walkway is A = π(10^2) - 36π = 100π - 36π = 64π.
Therefore, the area of the walkway is 64π square meters.