### All High School Math Resources

## 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:**

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:**

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 : Diameter And Chords

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

**Possible Answers:**

_{}

_{}

_{}

_{}

**Correct answer:**

_{}

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:**

The circumference of any circle is

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