GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #86 : Geometry And Graphs

Find the area of a circle that has a circumference of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the circumference of a circle:

, where  is the radius.

Using the given circumference, solve for .

Now, recall how to find the area of a circle:

Plug in the radius to find the area.

Example Question #1051 : Ged Math

Find the circumference of a circle with an area of 

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's area. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The area of a circle is determined through the formula: , where r is for radius. 

The circumference of a circle is determined by the formula:  where d is diameter. It can also be written as  because the radius is half the length of the diameter. 

We can now easily see that the two concepts, area and circumference, are related through the variable r. Therefore, if we can solve for r from the area, we can use that to then solve for circumference. 

Now that we have solved for the radius, we can use this value to "plug and chug" into the circumference formula and solve. 

Therefore, the circumference of the circle is .

 

 

Example Question #1052 : Ged Math

What is the circumference of a circle with an area of ?

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's area. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The area of a circle is determined through the formula: , where r is for radius. 

The circumference of a circle is determined by the formula:  where d is diameter. It can also be written as  because the radius is half the length of the diameter. 

We can now easily see that the two concepts, area and circumference, are related through the variable r. Therefore, if we can solve for r from the area, we can use that to then solve for circumference. 

Now that we have solved for the radius, we can use this value to "plug and chug" into the circumference formula and solve. 

Therefore, the circumference of the circle is .

 

Example Question #1053 : Ged Math

Find the circumference of a circle with an area of .

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's area. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The area of a circle is determined through the formula: , where r is for radius. 

The circumference of a circle is determined by the formula:  where d is diameter. It can also be written as  because the radius is half the length of the diameter. 

We can now easily see that the two concepts, area and circumference, are related through the variable r. Therefore, if we can solve for r from the area, we can use that to then solve for circumference. 

Now that we have solved for the radius, we can use this value to "plug and chug" into the circumference formula and solve. 

Therefore, the circumference of the circle is .

Example Question #1054 : Ged Math

If a circle has a diameter of , what is its circumference?

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's diameter. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The circumference of a circle is determined by the formula:  where r is radius. It can also be written as   because the diameter is twice the length of the radius. 

We can now easily see that the two concepts, diameter and circumference, are related. Therefore, we just need to substitute the diameter value into the circumference formula to solve. 

Example Question #51 : Circumference

Find the circumference of a circle with a diameter of .

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's diameter. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The circumference of a circle is determined by the formula:  where r is radius. It can also be written as   because the diameter is twice the length of the radius. 

We can now easily see that the two concepts, diameter and circumference, are related. Therefore, we just need to substitute the diameter value into the circumference formula to solve. 

Example Question #52 : Circumference

What is the circumference of a circle if it has a radius of ?

Possible Answers:

Correct answer:

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's diameter. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem. 

The circumference of a circle is determined by the formula:  where r is radius.

We can now easily see that the two concepts, radius and circumference, are related. Therefore, we just need to substitute the radius value into the circumference formula to solve. 

Example Question #91 : Circles

You and your friends are ordering pizza for your Friday night Mathathon. You decide to order three pizzas, each 16" in diameter. Find the circumference of each pizza to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

You and your friends are ordering pizza for your Friday night Mathathon. You decide to order three pizzas, each 16" in diameter. Find the circumference of each pizza to the nearest tenth.

We are asked to find the circumference of a circle. Don't get too hungry!

We can find the circumference using the following formula:

Now, we know that 2r=d, so our formula becomes:

Simply plug in our diameter and solve for C!

So our answer is 50.3 in

Example Question #54 : Circumference

A circle is circumscribed in a square as shown by the figure below.

3

If the area of the square is , find the circumference of the circle.

Possible Answers:

Correct answer:

Explanation:

3

Start by noticing that in the given figure, the diameter of the circle is the same as the length of a side of the square.

Use the area to find the length of a side of a square.

Next, use this to find the circumference of a circle. Recall how to find the circumference of a circle:

Example Question #51 : Circumference

Find the circumference of a circle given that the distance from its center to its edge is 6.25 meters.

Possible Answers:

Correct answer:

Explanation:

Find the circumference of a circle given that the distance from its center to its edge is 6.25 meters.

Find the circumference via the following:

Now, we have our radius, but the wording is a funny way of putting it. The distance from the center to any point on the edge is the same thing as a radius.

Plug in and chug to get our answer.

So, our answer is 36.27 m

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