Question

"Bob's Burgers floor area calculation.

a) \(A = π(10)^2\)
b) \(A = π(8)^2\)
c) \(A = π(6)^2\)
d) \(A = π(4)^2\)"

Answer 1

To calculate the correct floor area of Bob's Burgers, you can use the formula A = πr², where r is the radius. Plugging in each radius value from the given options, you can determine the correct floor area option for the burger joint.

This correct answer b

Step-by-step explanation:

To calculate the floor area of Bob's Burgers, you can use the formula A = πr², where A is the area and r is the radius. In this case, you are given four options for the radius: 10, 8, 6, and 4. To find the correct floor area, plug each radius into the formula and calculate the area. The correct option will give you the floor area of Bob's Burgers. Let's go through each option:

1. A = π(10)^2 = 100π
2. A = π(8)^2 = 64π
3. A = π(6)^2 = 36π
4. A = π(4)^2 = 16π

Now, if you need a numerical value for the floor area, you can approximate π to 3.14. So, the approximate areas for each option are:

1. A ≈ 314.16
2. A ≈ 200.96
3. A ≈ 113.04
4. A ≈ 50.24

Based on these calculations, the correct floor area option for Bob's Burgers is B) A ≈ 200.96.