Final answer:
Charlene will lose approximately 26.41 square feet of her lawn when she installs the tulip bed with a radius of 2.9 ft using the formula for the area of a circle and 3.14 as the value of pi.
Step-by-step explanation:
Charlene is planning to put a tulip bed in her backyard with a radius of 2.9 feet, and she wants to calculate how many square feet of her lawn will be replaced by the tulip bed. To find the area that the tulip bed will cover, we can use the formula for the area of a circle, which is Area = π × radius². The value of pi (π) will be approximated as 3.14, as given in the question.
First, we square the radius:
- Radius² = 2.9 ft × 2.9 ft
Next, we multiply the squared radius by π to get the area:
Area = π × Radius²
= 3.14 × 8.41 ft²
= 26.4074 ft²
Therefore, Charlene will lose approximately 26.41 square feet of her lawn when she installs the tulip bed.