Bobbie wants to plant a flower garden in her yard. She raked out the circular garden area shown below. Now she wants to estimate the area of the garden. Bobbie knows that her rake is 5 feet long. Which estimate is closest to the area in square feet of the garden?
60
310
180
80
To estimate the area of the circular garden, Bobbie can follow these steps:
1. Start by measuring the diameter of the circular garden. In this case, the diameter is the length of the rake, which is 5 feet.
2. The radius of the circle is half the diameter. So, divide the diameter (5 feet) by 2 to find the radius: 5 feet / 2 = 2.5 feet.
3. To calculate the area of a circle, you can use the formula: Area = π * (radius)^2
4. Plug in the value of the radius (2.5 feet) into the formula: Area = π * 2.5^2
5. Calculate the area using the value of π, which is approximately 3.14: Area = 3.14 * 2.5^2 = 3.14 * 6.25 = 19.625 square feet.
Now that we have the area calculated, let's see which estimate is closest:
- Option 1: 60 square feet
- Option 2: 310 square feet
- Option 3: 180 square feet
- Option 4: 80 square feet
Comparing the calculated area (19.625 square feet) to the given options, the closest estimate is 180 square feet.