Solve 2y - 18x= -26 for y

Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the rela

Feliz [49]

Answer:

The circumference for circle a is $\\ C = 131.9430$ m.

The circumference for circle b is $\\ C = 175.9240$ m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as $\\ \frac{C}{r} = 2\pi$ or, in a less familiar form, $\\ \frac{r}{C} = \frac{1}{2\pi}$ . The number $\\ \pi$ is constant for all circles and has infinite digits, $\\ \pi = 3.14159265358979....$ .

Step-by-step explanation:

The circumference of a circle is given by:

$\\ C = 2*\pi*r$ [1]

Where

$\\ C$ is the circle's circumference.

$\\ r$ is the radius of the circle.

And

$\\ \pi = 3.141592....$ is a constant value (explained below)

We can say that the distance around the circle is the circle's circumference.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters ( $\\ r = 21m$ ).

Using [1], using four decimals for $\\ \pi$ , we have:

$\\ C = 2*\pi*r$

$\\ C = 2*3.1415*21$ m

$\\ C = 131.9430$ m

Then, the circumference for circle a is $\\ C = 131.9430$ m.

Circle b, with radius equals to 28 meters ( $\\ r = 28m$ ).

$\\ C = 2*3.1415*28$ m

$\\ C = 175.9240$ m

And, the circumference for circle b is $\\ C = 175.9240$ m.

We know that

$\\ 2r = D$

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by $\\ 2r$

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is $\\ \pi$ and is constant for all circles. This result is called the $\\ \pi$ number, which is, approximately, $\\ \pi = 3.141592653589793238....$ (it has infinite number of digits).

We can observe that the relationship between the radius of a circle and the circumference is also constant:

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

$\\ \frac{C}{2r} = \pi$

$\\ \frac{C}{r} = 2\pi$

However, this relationship is $\\ 2\pi$ .

We can rewrite it as

$\\ \frac{r}{C} = \frac{1}{2\pi}$

And it is also constant.

7 0

3 years ago

Which represents the complete factorization of 3v2 + 9v ?

Flauer [41]

Answer:

3v2 + 9v = 3v(v + 3)

8 0

2 years ago

Read 2 more answers

If the probability of event a is 3/4 and the probability of event b is 1/4, then the probability of both a and b occurring at th

Ann [662]

3/1 that is the answer hope it helped

8 0

3 years ago

97 1/2 miles in 3/2 hour: miles?

SashulF [63]

Answer:

97 1/2 miles in 1 hour and 30 minutes.

Step-by-step explanation:

I think your asking how many miles he travels in 3/2 of an hour.

He travels 65 miles in 1 hour but because he's been traveling 3/2 of an(=1 hour and 30 minutes because 2 is 1 hour so he has 1 whole or one hour and still has 1/2 so 1/2 of an hour=30 minutes.

He travels 32.5 miles in 30 minutes. And that should be your answer he travels 32.5 miles every 30 minutes.

Here's calculations.

32.5 x 1(30 minutes)=32.5

32.5 x 2(1 hour)=65

32.5 x 3(1 hour and 30 minutes)=97.5

Hope it helps have a great day:)

5 0

3 years ago

If ABCDE is translated 3 units to the right and 4 units down, what will happen to the polygon?

DENIUS [597]

If the polygon ABCDE is translated to the right 3 units and 4 units down, it's great to not that translation never affects the shape and size of the image, the image will be congruent to the pre-image in every way possible. Therefore the answer to our question is :
B] It will move but won't change shape or size.

8 0

4 years ago