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Julli [10]
2 years ago
13

There is a constant ratio between corresponding sides of similar figures. Since circles don't have sides, what ratio(s) could yo

u use to prove that all circles are similar?
Mathematics
2 answers:
inessss [21]2 years ago
7 0
A circle's size and shape is fully defined by its radius. Given two circles with radii r and r', the diameters are d=2r and d'=2r' and they are in the ratio 

<span>d'/d = (2r')/(2r) = r'/r. </span>

<span>The diameter ratio is the same as the radius ratio. Similarly, the circumferences c=πd and c' = πd' are in the ratio </span>

<span>c'/c = (πd')/(πd) = d'/d = r'/r </span>

<span>The circumference ratio is the same as the diameter ratio and the radius ratio. All of the key linear dimensions are in the same proportion. </span>

<span>You might point out that the same thing happens with a square, where the size and shape are also completely determined by a single measurement, the length s of a side, with the diagonal and perimeter (corresponding to diameter and circumference) being d = √2 s and p = 4s. </span>

<span>Maybe you can lead at least some of the students to generalize to other regular polygons. Some of them (like the equilateral triangle and regular hexagon) can be demonstrated like the square and circle above with formulas from geometry. The general case needs trig ratios to state the formulas relating side length to the radius and apothem of the polygon.</span>
hodyreva [135]2 years ago
5 0

Answer:

The ratio of circumference to diameter in all circles is a constant value, pi. Also, the ratio of the diameters and the ratio of the circumferences of any two circles reduces to the ratio of their radii.

Step-by-step explanation:

just answered question, answer above is what it said to be a possible answer

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please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700
Serjik [45]

Answer:

A. 770,000,000

Step-by-step explanation:

7.7x10^8 First step is to simplify

7.7x100,000,000 Then, multiply

770,000,000

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.

Have a good day! :)

7 0
3 years ago
The perimeter of a rectangle is 12x + 4. If the width is 2x,<br> the length of the rectangle is
DENIUS [597]

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

6 0
2 years ago
Hank has large of trail mid weighs 7.8 pounds. He uses the mix in the large bag to make bags each containing 0.6 pounds of mix.
KonstantinChe [14]

Answer:

hi... bye... figgure it out yourself

Step-by-step explanation:

qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklzxcvbnm

6 0
3 years ago
I also need help with this​
DedPeter [7]

Answer:

10

Step-by-step explanation:

you take 2 times 5

4 0
3 years ago
Solve the triangle m&lt;N= 118°, m&lt;P= 33° and m=15. Round to the nearest tenth. Please show work.​
kirill [66]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

3 0
3 years ago
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