### All Intermediate Geometry Resources

## Example Questions

### Example Question #22 : How To Find The Area Of A Sector

Find the area of the sector if it has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #23 : How To Find The Area Of A Sector

Find the area of a sector if it has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #51 : Circles

Find the area of a sector if it has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #25 : How To Find The Area Of A Sector

Find the area of the sector if it has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #26 : How To Find The Area Of A Sector

Find the area of a sector if it has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #51 : Plane Geometry

Find the area of a sector that has a central angle of degrees and a radius of .

**Possible Answers:**

**Correct answer:**

The circle in question can be drawn as shown by the figure below:

, where is the radius of the circle.

Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.

### Example Question #28 : How To Find The Area Of A Sector

Find the area of a sector if it has an arc length of and a radius of .

**Possible Answers:**

The area of the sector cannot be determined.

**Correct answer:**

The length of the arc of the sector is just a fraction of the arc of the circumference. The area of the sector will be the same fraction of the area as the length of the arc is of the circumference.

We can then write the following equation to find the area of the sector:

The equation can be simplified to the following:

Plug in the given arc length and radius to find the area of the sector.

### Example Question #29 : How To Find The Area Of A Sector

Find the area of a sector if it has an arc length of and a radius of .

**Possible Answers:**

**Correct answer:**

The length of the arc of the sector is just a fraction of the arc of the circumference. The area of the sector will be the same fraction of the area as the length of the arc is of the circumference.

We can then write the following equation to find the area of the sector:

The equation can be simplified to the following:

Plug in the given arc length and radius to find the area of the sector.

### Example Question #51 : Plane Geometry

Find the area of a sector if it has an arc length of and a radius of .

**Possible Answers:**

**Correct answer:**

The length of the arc of the sector is just a fraction of the arc of the circumference. The area of the sector will be the same fraction of the area as the length of the arc is of the circumference.

We can then write the following equation to find the area of the sector:

The equation can be simplified to the following:

Plug in the given arc length and radius to find the area of the sector.

Make sure to round to places after the decimal.

### Example Question #51 : Plane Geometry

Find the area of a sector if it has an arc length of and a radius of .

**Possible Answers:**

**Correct answer:**

We can then write the following equation to find the area of the sector:

The equation can be simplified to the following:

Plug in the given arc length and radius to find the area of the sector.

Make sure to round to places after the decimal.

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