# Common Core: High School - Geometry : Similar Circles: CCSS.Math.Content.HSG-C.A.1

## Example Questions

### Example Question #1 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #2 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #1 : Circles

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #4 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #5 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #6 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #7 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #8 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #1 : Circles

Given , and , what is

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. . With this relationship, we can determine what  is.

Substitute for the variables given in the question.

Multiply by  on each side.

Divide by  to get .

### Example Question #10 : Similar Circles: Ccss.Math.Content.Hsg C.A.1

Given , and , what is