Question

you have enough shrubs to cover an area of 150ft^2. What is the radius of the largest circular region you can plant with shrubs? Round your answer to the nearest tenth of a foot

Answer 1

the radius of the largest circular region that can be planted with the given amount of shrubs is approximately 6.1 feet (rounded to the nearest tenth of a foot)

Explanation:

The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius of the circle.

We want to find the radius of the largest circular region that can be planted with the given amount of shrubs, which corresponds to an area of 150 square feet. Therefore, we need to solve the equation:

πr^2 = 150

Dividing both sides by π, we get:

r^2 = 150/π

Taking the square root of both sides, we get:

r = √(150/π)

Using a calculator to evaluate this expression, we get:

r ≈ 6.13

Therefore, the radius of the largest circular region that can be planted with the given amount of shrubs is approximately 6.1 feet (rounded to the nearest tenth of a foot)