All categories

2 years ago

What is relationship between the circumference and the diameter

Mathematics

2 answers:

Mkey [24]2 years ago

7 0

Answer & Step-by-step explanation:

The circumference is basically the perimeter of a circle. The circumference of a circle is found by multiplying the diameter by π (pi):

$C=\pi d$

or by multiplying the radius (which is half of the diameter) by 2 and π:

$C=2\pi r$

snow_lady [41]2 years ago

6 0

The diameter is half the circumference

You might be interested in

If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

7 0

2 years ago

Given tanθ = 8, find csc(θ)

In-s [12.5K]

Cosecθ=sq.rt of 65/8. hope it will help you

4 0

2 years ago

Read 2 more answers

A pillar is 15 m high the diameter is 84 cm what is the surface area

NARA [144]

Answer:

1416 cm

Step-by-step explanation:

Use calcutor shows everthinh

3 0

1 year ago

Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay,

dmitriy555 [2]

Cone Volume = (π • r² • h) ÷ 3

Original cone = (3.14 * 6^2 * 12) / 3

Original cone = 452.16 cc

Larger cone = (3.14 * 6^2 * 18) / 3 = 678.24 cc

Difference = (678.24 -452.16) = 226.08 cc

3 0

3 years ago

Read 2 more answers

The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos

spayn [35]

Answer:

a) 1/64

b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

Additional comment

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

3 0

2 years ago