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Readme [11.4K]
3 years ago
6

Why does the formula for finding the area of a circle work? A = π r²

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0
The formula for finding the area of the circle works because they made it especially for it. I don’t really know how else to describe it, it simply just works.
loris [4]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

If we divide the circle into  a large number of sectors and line them up in a straight line it will be close to a rectangle .

The area of the rectangle will be approximately the area of the circle.

If we have an infinite number of these sectors we get a rectangle whose width is the radius r of the circle. We know that the circumference of a circle is equal to 2πr, so our rectangle  will be πr long and r wide. Area = πr*r = πr^2.

Draw a circle and  try deriving the rectangle as above and it  should be clearer.

Hope this helps.

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What are the first three terms of the sequence: a1 = 3 and an = 2(an -1)^2?. . a. 2, 8, 18. . b. 3, 18, 648. . c. 3, 32, 50. . d
AlexFokin [52]
The first term of the sequence is already given to be 3. Use this value to obtain the second term.
                                     a2 = 2(a1)^2 = 2(3)² = 18
Use the value of the second term to get the third term through the equation,
                                     a3 = 2(a2)² = 2(18)² = 648
Thus, the answer to this item is letter B. 
7 0
3 years ago
You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies
e-lub [12.9K]

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase  

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720

5 0
3 years ago
WILL MARK U AS BRAINLIEST PLZ HELP
torisob [31]

Answer:

2 inches

Step-by-step explanation:

2 x 1 = 2

could you heart my post and mark me ect.

7 0
4 years ago
At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad
sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the  rules of trigonometry

\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}

\frac{a}{b}=\frac{c}{d}

\frac{35}{50}=\frac{4}{d}

35d=200

d=\frac{200}{35}

d=5.7ft  

Hence, The length of the person’s shadow is 5.7ft.

3 0
3 years ago
Read the complete problem before answering. Sal had tiles that were inches long. He lined up 8 tiles. How long were the tiles wh
Setler79 [48]
Are there supposed to be anything else then inches?
5 0
3 years ago
Read 2 more answers
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