### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

What is the circumference of a circle with a radius equal to ?

**Possible Answers:**

**Correct answer:**

The circumference can be solved using the following equation:

### Example Question #1 : How To Find Circumference

The radius of a circle is . Give the circumference of the circle in terms of .

**Possible Answers:**

**Correct answer:**

The circumference can be calculated as , where is the radius of the circle.

### Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The area of a circle is . Give the circumference of the circle in terms of .

Let .

**Possible Answers:**

**Correct answer:**

The area of a circle can be calculated as , where is the radius of the circle.

The circumference can be calculated as , where is the radius of the circle.

### Example Question #2 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

What is the circumference of a circle with a radius of ?

**Possible Answers:**

**Correct answer:**

The circumference can be solved using the following equation:

Where represents the radius. Therefore, when we substitute our radius in we get:

### Example Question #5 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius inches; the width of the rectangle is inches. What is the length of the rectangle?

**Possible Answers:**

inches

inches

inches

inches

inches

**Correct answer:**

inches

The circumference of a circle with radius inches is

inches.

The perimeter of the rectangle is therefore inches. To find its length, substitute and into the equation and solve for :

inches

### Example Question #1 : How To Find The Area Of A Circle

What is the area of a circle that has a diameter of inches?

**Possible Answers:**

**Correct answer:**

The formula for finding the area of a circle is . In this formula, represents the radius of the circle. Since the question only gives us the measurement of the diameter of the circle, we must calculate the radius. In order to do this, we divide the diameter by .

Now we use for in our equation.

### Example Question #2 : Area Of A Circle

What is the area of a circle with a diameter equal to 6?

**Possible Answers:**

**Correct answer:**

First, solve for radius:

Then, solve for area:

### Example Question #234 : Ssat Upper Level Quantitative (Math)

The diameter of a circle is . Give the area of the circle.

**Possible Answers:**

**Correct answer:**

The area of a circle can be calculated using the formula:

,

where is the diameter of the circle, and* * is approximately .

### Example Question #3 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The diameter of a circle is . Give the area of the circle in terms of .

**Possible Answers:**

**Correct answer:**

The area of a circle can be calculated using the formula:

,

where is the diameter of the circle and is approximately .

### Example Question #4 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The radius of a circle is . Give the area of the circle.

**Possible Answers:**

**Correct answer:**

The area of a circle can be calculated as , where is the radius of the circle, and is approximately .