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sdas [7]
3 years ago
11

Explain how the diagram can help find the area of a circle

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

Step-by-step explanation:

This is a really famous diagram!  The circle has been divided into many wedges (think slices of pizza!).  The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them.  See how the bottom and top edges of the rectangle look bumpy?

The area of the "rectangle" is approximately \pi r^2 .  The reason is that the height of the rectangle is  <em>r</em> , the radius of the circle.  And the length of the rectangle is about \pi r -- half the circumference of the circle.  It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.

The approximation improves as the number of wedges increases.  In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference.  In other words, making more wedges makes the rectangle less bumpy!

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What is the solution of the system?
Phoenix [80]

Answer:

(-2, 6)

Step-by-step explanation:

We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...

6=-3(-2)

6=6

This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...

3(-2)+2(6)=6

-6+12=6

6=6

Hope this helps and have an amazing day ^^

5 0
3 years ago
Read 2 more answers
X - 2y = 2 3x + 3y = 24
Alona [7]
Answer : yes



Explanation yes
6 0
2 years ago
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Does this graph represents a function? why or why not?
ankoles [38]

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

3 0
3 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
Use substitution to solve the following system of equations. What is the value of y?
koban [17]
The answer is C. I solved for the first variable in one of the equations then substitute the result into the other equation.
5 0
2 years ago
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