The diameter of a circle field is 40m and that of another 96m . find the diameter of the circular field whose area is equal to the sum of the area of two fields ​

Answers

Answer 1

Answer :

According to the Question

Diameter of a circle field is 40m and that of another 96m .

We have to find the diameter of the circle whose area is equal to the sum of the area of given two circular fields.

Radius of field whose diameter is 40 m

→ r = 40/2 = 20m

Radius of field whose diameter is 96 m

→ r' = 96/2 = 48m

Now, calculating the diameter of Larger circular field.

Let the radius of larger field be R m .

Now, according to the given statement

Sum of Area of given two circular fields = Area of larger field

➠ πr² + πr'² = πR²

➠ π ( r² + r'²) = π R²

➠ 20² + 48² = R²

➠ 400 + 2304 = R²

➠ 2704 = R²

➠ √2704 = R

➠ 52 = R

Therefore, Diameter = 2 × R = 2×52 = 104 m

So, the diameter of Larger circular field is 104 m .

Answer 2

Answer:

Diameter of the circular field=40 m[tex]r = \displaystyle{ \frac{40 \: m}{2}} [/tex][tex]r=20 m[/tex]Diameter of another circular field=[tex]96 m[/tex]r=[tex]\displaystyle{\frac{96 m}{2}}[/tex]r=48 m

Area of circular field(2)=[tex]πr^2[/tex]

=[tex]π×(20)^2[/tex]

=[tex]400π[/tex]

Area of circular field(2)=[tex]πr^2[/tex]

=[tex]π×(48)^2[/tex]

=[tex]2304π[/tex]

The sum of the area of the two fields=[tex]400π+2304π[/tex]=[tex]2704π[/tex]

Let the radius of circular field that is formed so be r meter(m).

Now,

[tex] \cancel\pi {r}^{2} = 2704 \cancel\pi[/tex]

[tex] {r}^{2} = 2704[/tex]

[tex]r = \sqrt{2704} [/tex]

[tex]r = 52 \: m[/tex]

Area of the circular field whose area is equal to the areas of two fields,

Diameter=[tex]2r[/tex]

Diameter=[tex]2×52[/tex]

Diameter=[tex]104 m[/tex]

The diameter of the circular field whose area is equal to the areas of two fields is 104 m.

Step-by-step explanation:

[tex] \frak{ \blue{DisneyPrincess29}}[/tex]


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Answer:

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Step-by-step explanation:

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Hi!

I can help you with joy! :)

Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept)

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I hope this helps you!

Enjoy your day :)

[tex]\bf{MistySparkles :)[/tex]

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Answer:

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Step-by-step explanation:

Length A:   8 - 3 = 5 ft

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Answers

Answer:

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Answer:

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Answers

I hope this helps you :)

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Answers

Answer:

Step-by-step explanation:

The points N(-3,-3)(−3,−3), O(-3,-9)(−3,−9), and P(5,-3)(5,−3) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.

Answers

Answer:

Perimeter = 30.42

Step-by-step explanation:

Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)

Find the Distance Between NO, OP, and NP

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The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers
is 38, find the two numbers.



Answers

Answer:

16,22

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smaller number=16

Step-by-step explanation:

let 2x-10=larger number

let x=smaller number

x+2x-10=38

Simplify

3x-10=38

   +10  +10

Add 10 to both sides of the equation

3x=48

divide both sides by 3

x=16

First answer.

2x-10=22

2nd answer

Check your work:

16+22=38

It is correct.

Answer:

66 & -28

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x > y

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