A circular grass plot 12 feet in diameter is cut by a staright gravel path 3 feet wide, on e of which passes through the center of the plot . the number of square feet in the remaining grassy area is

The number of square feet in the remaining grassy area is 162 square feet.

Step-by-step explanation:

The number of square feet in the remaining grassy area = Area of the circular grass plot - area of the straight gravel path

Area of the circular grass plot =

Since its diameter is 12 feet, the its radius =

                                       =

                                       = 6 feet

So that,

            Area of the circular grass plot = ×

                                     = × 36

                                     = 198 squared feet

Area of the straight gravel path = length  × width

                                                    = 12  × 3

                                                    = 36 square feet

Thus,

The number of square feet in the remaining grassy area = 198 - 36

                                                     162 square feet.

The correct answer is E. 30π - 9√3

Correct statement, question and options:

A circular grass plot 12 feet in diameter is cut by a straight gravel path 3 feet wide, one edge of which passes through the center of the plot. The number of square feet in the remaining grass area is :

A. 36π - 34

B. 30π - 15

C. 36π - 33

D. 35π - 9√3

E. 30π - 9√3

Source:

Previous question that can be found at chegg

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Diameter of the circular grass = 12 feet ⇒ Radius = 6 feet

Width of the straight gravel path = 3 feet

For answering the question, first we have to calculate the area of the semicircle, this way:

A = π * r²/2

A = π * 6²/2

A = 18π ft²

Now, we have to calculate the area of the circular segment, this way:

A = Sector AOB – △AOB.

We see that △AOC is a 30°-60° right △ since OC = 3 (width of the straight gravel path) and  OA = 6 (radius of the circular grass).

Thus, ∠AOC = 60° and ∠AOB = 120°.

A= 120/360 * π r²

A= 120/360 * π * 6²

A = 36π/3 = 12π ft²

Finally, △AOB has base AB = 6√3 and height OC = 3, therefore:

A △AOB = (6√3 * 3)/2 = 9√3 ft²

Now, we calculate the total area of the grassy area this way:

18π ft² + 12π ft² - 9√3 ft²

30π - 9√3 ft²

The correct answer is E. 30π - 9√3

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.