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WARRIOR [948]
2 years ago
9

Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C

= 2πr (round r to tenths); then find area). 1) 89 2)560 3)1,989 4)6,246
Mathematics
2 answers:
Marrrta [24]2 years ago
4 0
Find r :
C=2πr
280=2(3.14)r
r=280/2(3.14)
r=44.6cm

find area :
A=πr²
A=3.14(44.6)²
A=6246 cm²

Answer : 4)6,246
pogonyaev2 years ago
4 0

Answer:

4)6,246

Step-by-step explanation:

First we will find the value of r.

The formula for circumference is C = 2πr:

280 = 2(3.14)r

280 = 6.28r

Divide each side by 6.28:

280/6.28 = 6.28r/6.28

44.6 ≈ r

The formula for the area of a circle is

A = πr²

Using our value for r, we have

A = 3.14(44.6)² = 6245.9624 ≈ 6246

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A home builder wants 5 5 acres of land split into 13 13 equal sections. Three of these expressions give the number of acres of l
stepladder [879]

Answer:

Check Explanation

Step-by-step explanation:

The options to be examined for the wrong one isn't presented, and it wasn't obtainable online, So, I'll exhaustively cover all the common possible answers!

5 acres of land. Acres is a unit of measurement that is most pecuilar to land. It is basically expressing the area of the land.

So, if 5 acres of land is to be divided into 13 sections with equal areas.

Each of the 13 land areas will have an area of (5/13) = 0.385 acre

1 acre = 4046.856 m²

5 acres = 20,234.28 m²

Each of the 13 land areas will have an area of (20234.28/13) = 1556.5 m²

1 acre = 43560 ft²

5 acres = 5 × 43560 = 217,800 ft²

Each of the 13 land areas will have an area of (217800/13) = 16,753.85 ft²

1 acre = 0.00156 square miles

5 acres = 5 × 0.00156 = 0.0078 square miles

Each of the 13 land areas will have an area of (0.0078/13) = 0.0006 square miles.

So, basically, whatever units one converts the area to, just divide the value by 13 and one obtains the area of each of the 13 portions of land that makes up the 5 acres.

Hope this Helps!!!

4 0
2 years ago
Read 2 more answers
ken purchased a plot of land shaped like the figure shown. how can he find the length of the side labeled x if he knows the area
OLga [1]
What figure?  anyways if it is a square you simply square root the area. EX: A=81 S=9
it it is a rectangle, you must know the other side before dividing
and so on
sorry I couldn't see the figure
3 0
2 years ago
The area of a small pond is 78.5 yds. What is the diameter of the pond?
Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ \pi\ r^2

where r represents radius of the pond.

Thus, we have:

⇒ \pi\ r^2=78.5

Using \pi=3.14

⇒ 3.14r^2=78.5

Solving for r

Dividing both sides by 3.14

⇒ \frac{3.14r^2}{3.14}=\frac{78.5}{3.14}

⇒ r^2=25

Taking square root both sides.

⇒ \sqrt{r^2}=\sqrt{25}

⇒ r=\pm5

So, radius = 5 yd, as distances are always positive.

Diameter = 2\times radius=2\times 5\ yd= 10\ yd

Thus, diameter of pound = 10 yd

7 0
2 years ago
A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a
ivanzaharov [21]

Answer: 2

<u>Explanation:</u>

A pond had 60 fish but 10 were added so now the pond has 70 fish.

The probability of choosing a carp is 1/2 so \frac{1}{2} (70) = 35 are now carp.  

There were 27 carp and now there are 35 carp so 8 carp were added.

10 fish were added and 8 of them were carp so 2 of them were tench.

6 0
2 years ago
Lisa says that the indicated angles cannot have the same measure. Marita disagrees and says she can prove that they can have the
AlexFokin [52]
I agree with Marita, that the angles could have the same measure.  This can be proven if you set the two amounts equal and solve for x. 

9x - 25 + x = x + 50 + 2x - 12

To begin, we should combine like terms on both sides of the equation to start simplifying the equation.

10x - 25 = 3x + 38

Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.

7x = 63

Finally, we should divide both sides by 7, to get rid of the coefficient of x.

x = 9

If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees.  This means that Marita is correct, because if x = 9, then the angles would have the same measure.


8 0
2 years ago
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