Intermediate Geometry : How to find the area of a sector

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #31 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

The circle in question could be depicted as shown in the figure.

8

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

Example Question #41 : Intermediate Geometry

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

Possible Answers:

Correct answer:

Explanation:

The circle in question could be depicted as shown in the figure.

10

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

Example Question #41 : Sectors

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

Possible Answers:

Correct answer:

Explanation:

The circle in question could be depicted as shown in the figure.

9

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

Example Question #41 : Intermediate Geometry

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

Possible Answers:

Correct answer:

Explanation:

The circle in question could be depicted as shown in the figure.

11

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

Example Question #44 : Circles

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

Possible Answers:

Correct answer:

Explanation:

The circle in question could be depicted as shown in the figure.

12

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

Example Question #45 : Circles

 

If the sector in the provided illustration has an angle of and the circle has a radius of , what is the area of the sector? Round to the nearest tenth.

Varsity geometry

 

Possible Answers:

Correct answer:

Explanation:

To solve for the area of the sector, it helps to solve for the area of the complete circle and multiple that value by the sector angle over the full of a complete circle:


Example Question #41 : Intermediate Geometry

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

Possible Answers:

Correct answer:

Explanation:

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

1

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 #41 : Intermediate Geometry

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

Possible Answers:

Correct answer:

Explanation:

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

3

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 #48 : Circles

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

Possible Answers:

Correct answer:

Explanation:

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

2

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 #11 : 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:

Explanation:

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

5

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.

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