which of the following ratios in a circle is equal to pi?

A. circumference to radius

B. radius to circumference

C. diameter to circumference

D. circumference to diameter

Respuesta :

Answer:

D. circumference to diameter

Step-by-step explanation:

For any circle, the formula for circumference is C=pi*d.  So to solve for pi, we can divide by d on both sides to get C/d = pi.

Answer: Option D

Step-by-step explanation:

By definition we know that the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where the radius of the circle is r.

And the diameter of a circle is twice the radius:

[tex]D=2r[/tex]

Where the radius of the circle is r.

The ratio can be written as:

[tex]a:b[/tex] or   [tex]\frac{a}{b}[/tex]

Rewriting the ratio of circumference to diameter and simplitying, you get:

[tex]ratio=\frac{2\pi r}{2r}\\\\ratio=\pi[/tex]

Therefore, the ratio in a circle that  is equal to π is: Circumference to diameter.

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