Basic Geometry : How to find circumference

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #51 : How To Find Circumference

The rectangle and the circle share a center, . Find the circumference of the circle.

2

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #241 : Radius

The rectangle and the circle share a center, . Find the circumference of the circle.

3

Possible Answers:

The circumference of the circle cannot be determined.

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #51 : How To Find Circumference

The rectangle and the circle share the the same center, . Find the circumference of the circle.

1

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #52 : How To Find Circumference

The rectangle and the circle share a center, . Find the circumference of the circle.

4

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #53 : How To Find Circumference

The rectangle and the circle share a center, . Find the circumference of the circle.

6

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #54 : How To Find Circumference

The rectangle and the circle share a center, . Find the circumference of the circle.

7

Possible Answers:

The circumference of the circle cannot be determined.

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #241 : Circles

The rectangle and the circle share a center, . Find the circumference of the circle.

8

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #242 : Circles

The rectangle and the circle share a center, . Find the circumference of the circle.

9

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #250 : Radius

The rectangle and the circle share a center, . Find the circumference of the circle.

5

Possible Answers:

The circumference of the circle cannot be determined.

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

Example Question #251 : Radius

The circle and the rectangle share a center, . Find the circumference of the circle.

10

Possible Answers:

Correct answer:

Explanation:

13

Notice that the diagonal of the rectangle is also the diameter of the circle. 

Use the Pythagorean theorem to find the length of the diagonal.

Substitute in the values of the length and the width to find the length of the diagonal.

Simplify.

Reduce.

Now, recall the relationship between the diagonal and the diameter.

Recall how to find the circumference of a circle:

Substitute in the value of the diameter to find the circumference.

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