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2 years ago

2. Which of the following represents the relationship between the circumference, C, and diameter, d, of any circle?

Mathematics

1 answer:

dybincka [34]2 years ago

4 0

Answer:

The ratio of the circumference of a circle to the diameter of that circle is the value pi (22/7)

Step-by-step explanation:

Mathematically,

the circumference of a circle is by the formula;

C = 2 * pi * r

Now, as we know, 2r is d where r is the radius of the circle and d is the diameter of the circle

that means;

C = pi * d

hence;

C/d = pi

So the ratio of the circumference of any circle to the diameter is the value called pi

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Korvikt [17]

Answer:

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Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

$R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$

Given the matrix: $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

Now, equate the given matrix with standard matrix we have;

$\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ = $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

On comparing we get;

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$\sin(-\theta) = -\sin \theta$

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we get;

$\theta = -90^{\circ}$

and

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