All categories

3 years ago

The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.

Mathematics

1 answer:

Sidana [21]3 years ago

7 0

Answer:

A = 26 ft²

Step-by-step explanation:

To find the area of a circle, use the formula A = πr²

We know π = 3.14 and C = 18.

Use the circumference to find "r". C = 2πr

C = 2πr

18 = 2(3.14)r

18 = 6.28r

r = 18/6.28 Exact answer

r ≈ 2.866 Rounded to three decimal places

You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.

Substitute π = 3.14 and r = 2.866.

A = πr²

A = (3.14)(2.866)² Solve exponents first

A = 3.14(8.213956) Multiply

A = 25.7918218... Unrounded answer

A ≈ 26 Rounded to nearest square foot

Add the units back in.

You might be interested in

What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??

torisob [31]

Step-by-step explanation:

50/50 chance of choosing one or the other because there is only two options

6 0

2 years ago

Which of the following prove that (-3) + 5 = 2? Select all that apply.

MakcuM [25]

Answer:

Step-by-step explanation:

You started at level ground and then went deeper which represents the negatives. After you stick a five foot pole in there it sticks up 2 feet.

7 0

3 years ago

Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?

3241004551 [841]

Gary car will use 18 miles/gallons

7 0

3 years ago

What is 18 percent of 28 dollars

bixtya [17]

If something costs $28<span> and is on sale for </span>18<span>% off, then how much would it cost?
</span>
5.04 U.S. dollars

6 0

3 years ago

Read 2 more answers

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago