High School Math : How to find the ratio of diameter and circumference

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Find The Ratio Of Diameter And Circumference

What is the ratio of the diameter of a circle to the circumference of the same circle?

Possible Answers:

Correct answer:

Explanation:

To find the ratio we must know the equation for the circumference of a circle. In this equation, is the circumference and is the diameter.

Once we know the equation, we can solve for the ratio of the diameter to circumference by solving the equation for . We do this by dividing both sides by .

Then we divide both sides by the circumference.

We now know that the ratio of the diameter to circumference is equal to .

Example Question #2 : How To Find The Ratio Of Diameter And Circumference

What is the ratio of the diameter and circumference of a circle?

 

Possible Answers:

Correct answer:

Explanation:

To find the ratio we must know the equation for the circumference of a circle is

Once we know the equation we can solve for the ratio of the diameter to circumference by solving the equation for 

we divide both sides by the circumference giving us 

We now know that the ratio of the diameter to circumference is equal to .

Example Question #1 : How To Find The Ratio Of Diameter And Circumference

Let  represent the area of a circle and  represent its circumference. Which of the following equations expresses  in terms of

Possible Answers:


Correct answer:

Explanation:

The formula for the area of a circle is , and the formula for circumference is . If we solve for C in terms of r, we get
.

We can then substitute this value of r into the formula for the area:

 

Example Question #1 : How To Find The Ratio Of Diameter And Circumference

What is the ratio of any circle's circumference to its radius?

Possible Answers:

Undefined.

 

Correct answer:

 

Explanation:

The circumference of any circle is 

So the ratio of its circumference to its radius r, is

 

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