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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Radius And Diameter

Determine the radius of the circle with a diameter of 6x+3 .

Possible Answers:

3x+1

$3x+\frac{3}{2}$

12x+6

12x+3

3x+3

Correct answer:

$3x+\frac{3}{2}$

Explanation:

The radius is half the diameter. Multiply the given diameter by half.

$\frac{1}{2}(6x+3) = 3x+\frac{3}{2}$

The answer is: $3x+\frac{3}{2}$

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Example Question #992 : Ged Math

You have a giant gong that has a diameter of 1.5 m . Find the radius of the gong.

Possible Answers:

2.25m

4.5m

3 m

0.75 m

Correct answer:

0.75 m

Explanation:

You have a giant gong that has a diameter of 1.5 m . Find the radius of the gong.

To relate radius and diameter, use the following formula:

d=2r

So, to find our radius from our diameter, divide by 2:

$1.5m=2r\rightarrow\frac{1.5m}{2}=r\rightarrow r= 0.75m$

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Example Question #993 : Ged Math

While doing your homework, you become distracted by the 3 holes on the margin of your paper. You estimate that the holes have a diameter of 2.5 cm. What is the radius of the circles?

Possible Answers:

1.75cm

5cm

3.5cm

1.25cm

Correct answer:

1.25cm

Explanation:

While doing your homework, you become distracted by the 3 holes on the margin of your paper. You estimate that the holes have a diameter of 2.5 cm. What is the radius of the circles?

Recall that your radius is always exactly half of the diameter. A diameter spans the entire width of a circle, while a radius goes from the center to the edge.

So, to find our radius, divide our diameter by 2

$r=\frac{d}{2}=\frac{2.5cm}{2}=1.25cm$

So, our answer is 1.25cm

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Example Question #26 : 2 Dimensional Geometry

What is the radius of a circle if it has a circumference of 19.2 ?

Possible Answers:

2.2

3.14

3.1

4.3

3.6

Correct answer:

3.1

Explanation:

In order to solve this problem, it's important to understand the relationship between the two terms mentioned: radius and circumference.

The circumference of a circle can be solved for with the formula: $C= 2 \pi r$ , where r is radius. By substituting the circumference value into the equation, we should be able to solve for the radius fairly quickly.

$19.2=2 \pi r$

$\frac{19.2}{2 \pi}=r$

r = 3.1

Therefore, the radius of the circle is 3.1

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Example Question #27 : 2 Dimensional Geometry

If a circle has a circumference of 37.4 , what is its radius?

Possible Answers:

4.7

7.0

5.8

6.0

6.1

Correct answer:

6.0

Explanation:

In order to solve this problem, it's important to understand the relationship between the two terms mentioned: radius and circumference.

$37.4=2 \pi r$

$\frac{37.4}{2 \pi}=r$

r = 6.0

Therefore, the radius of the circle is 6.0

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Example Question #31 : Radius And Diameter

What is the radius of a circle if it has a circumference of 47.9 ?

Possible Answers:

8.3

9.4

8.9

7.6

9.3

Correct answer:

7.6

Explanation:

In order to solve this problem, it's important to understand the relationship between the two terms mentioned: radius and circumference.

$47.9=2 \pi r$

$\frac{47.9}{2 \pi}=r$

r = 7.6

Therefore, the radius of the circle is 7.6

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Example Question #32 : Radius And Diameter

If a circle has an area of 92.5 , what is its diameter?

Possible Answers:

9.9

10.8

8.1

10.6

6.2

Correct answer:

10.8

Explanation:

When it comes to circles, it's especially helpful to try and think about how things relate. This problem only provides the area of the circle, but it's asking for the diameter. How do these two things relate?

Well, the formula for area of a circle is given by: $A=\pi \cdot r^2$ , where r is the radius.

The diameter of a circle can be solved for via: $d= 2 \cdot r$ , where r is the radius.

Therefore, we see that two concepts are related through radius. This means that with the area, we can solve for radius. And then, we can use the radius to solve for the diameter.

$92.5= \pi r^2$

$\frac{92.5}{\pi}=r^2$

r=5.4

Now, we may solve for the diameter.

d= 2(5.4)

d=10.8

Therefore, the diameter of the circle is 10.8

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Example Question #33 : Radius And Diameter

Find the diameter of a circle that has an area of 57.7 .

Possible Answers:

26.4

6.9

19.2

7.7

8.6

Correct answer:

8.6

Explanation:

Well, the formula for area of a circle is given by: $A=\pi \cdot r^2$ , where r is the radius.

The diameter of a circle can be solved for via: $d= 2 \cdot r$ , where r is the radius.

Therefore, we see that two concepts are related through radius. This means that with the area, we can solve for radius. And then, we can use the radius to solve for the diameter.

$57.7= \pi r^2$

$\frac{57.7}{\pi}=r^2$

r=4.3

Now, we may solve for the diameter.

d= 2(4.3)

d=8.6

Therefore, the diameter of the circle is 8.6

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Example Question #34 : Radius And Diameter

If a circle has an area of 119.8 , what is its diameter?

Possible Answers:

21.8

12.4

11.7

16.6

13.6

Correct answer:

12.4

Explanation:

Well, the formula for area of a circle is given by: $A=\pi \cdot r^2$ , where r is the radius.

The diameter of a circle can be solved for via: $d= 2 \cdot r$ , where r is the radius.

Therefore, we see that two concepts are related through radius. This means that with the area, we can solve for radius. And then, we can use the radius to solve for the diameter.

$119.8= \pi r^2$

$\frac{119.8}{\pi}=r^2$

r=6.2

Now, we may solve for the diameter.

d= 2(6.2)

d=12.4

Therefore, the diameter of the circle is 12.4

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Example Question #35 : Radius And Diameter

If a circle has an area of 64.8 , what is its radius?

Possible Answers:

3.5

4.5

6.3

5.2

1.7

Correct answer:

4.5

Explanation:

When it comes to circles, it's a great strategy to think about how concepts are related. In this problem the area is provided, but you are asked to solve for the area. But how are these two concepts related?

Well, area is solved for by: $A=\pi \cdot r^2$ , where r is the radius.

This means that we can directly solve for radius through substituting in the value for the area.

$64.8= \pi \cdot r^2$

$\frac{64.8}{\pi}= r^2$

Remember that you need to take the square root in order to solve for r.

r=4.5

Therefore, the radius is 4.5

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #21 : Radius And Diameter

Example Question #992 : Ged Math

Example Question #993 : Ged Math

Example Question #26 : 2 Dimensional Geometry

Example Question #27 : 2 Dimensional Geometry

Example Question #31 : Radius And Diameter

Example Question #32 : Radius And Diameter

Example Question #33 : Radius And Diameter

Example Question #34 : Radius And Diameter

Example Question #35 : Radius And Diameter

All GED Math Resources

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