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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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During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for
PtichkaEL [24]

Answer:

The answer is 9 days

Step-by-step explanation:

First, we realise

-1.F = 1 day

-9.F = 9 days

The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

4 0
3 years ago
Please help me I don’t understand
ioda

Answer:

-8 I believe

Step-by-step explanation:

8 0
3 years ago
Find the value of each variable in the parallelogram
wlad13 [49]

Answer:

B= 90

C= 80

D= 100

Step-by-step explanation:

So let’s start with the bottom angles.

We know that the adjacent angles in a parallelogram add up to 180° so our equation would be (b-10) + (b+10)=180. So let’s simplify it b and b are both the same variables so we will get 2b and -10 + 10 is 0 so we get the following equation 2b=180.

So now we divide 180 and 2 and we get 90 as b.

So one side will be 100 because of the +10 and the other 90 because of the -10.

Now for the next side.

d+c=180

So we know that b+10 is adjacent to c so 180-100 is 80, so 80 is c.

Now for d.

b-10 is 80 so 180-80 is 100, so d is 100.

7 0
3 years ago
During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewe
STatiana [176]

Answer: 38 pages per night

Step-by-step explanation:

Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.

To find the number of pages she is reading now, first find 5% of 40 pages:

= 5% * 40

= 2

Then subtract this figure from 40:

= 40 - 2

= 38 pages per night

<em>By deducting 5% from the reading quantity, the person is reading at 5% less. </em>

8 0
2 years ago
Please! Need help on this question
alina1380 [7]

Answer: D and E

the answers is between 1 and 2 so A is out

the dot is a little more than halfway so B and C are out

D and E are left :)

6 0
3 years ago
Read 2 more answers
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