Worksheet

Solve for Arcs and Sectors Worksheet

5 problems

The portion of a circle which is enclosed within the two radii and the adjoining arc length is the sector of a circle. The amount of space enclosed within the boundary of a sector is known as the area of a sector. The center of a circle is the origin of a sector. Generally, a sector is divided between two sectors. They are minor and major sectors.  Arc Length is the distance along the circumference of a circle. 

Things to keep in mind while solving problems on arc length and sector of a circle.
 

Grade 7
Circles
7.G.B.4

Teaching Arcs and Sectors Easily 

 

  •  Firstly, note down all the information given. Such as length, radius, and so on. 


 

  • Then, use an appropriate formula to get a result. 



 

Here is an example to solve a question on arcs and sectors. Let’s look at the given example to understand more about the arcs and sectors of a circle. 

 

                                          Area of a Sector = (θ/360º) × πr2

                                                Arc Length =  θ × r, where θ is in radian.


 

 

 

 

Q. Find the length of an arc cut off by a central angle of 5 radians in a circle with a radius of 8  inches.


 

Step 1: Note the Radius 


 

Radius = 8 inches. 


 

Step 2: Use the arc length formula 


 

 θ × r, where θ is in radian.

Arc length = 8 * 5 = 40 inches. 



 

Why Should you use an arc and sector worksheet for your students? 

 

  • Using these worksheets will help your students to easily calculate questions on arc length and sector. 


 

  • Arc length and Sector are parts of a circle. Hence, solving these worksheets will help your students to be well versed with the concept. 
     

Download Equations with Arc and Sector Worksheets PDF

You can download and print these super fun equations with an arc and sector worksheet pdf form here for your students.

Teaching Arcs and Sectors Easily 

 

  •  Firstly, note down all the information given. Such as length, radius, and so on. 


 

  • Then, use an appropriate formula to get a result. 



 

Here is an example to solve a question on arcs and sectors. Let’s look at the given example to understand more about the arcs and sectors of a circle. 

 

                                          Area of a Sector = (θ/360º) × πr2

                                                Arc Length =  θ × r, where θ is in radian.


 

 

 

 

Q. Find the length of an arc cut off by a central angle of 5 radians in a circle with a radius of 8  inches.


 

Step 1: Note the Radius 


 

Radius = 8 inches. 


 

Step 2: Use the arc length formula 


 

 θ × r, where θ is in radian.

Arc length = 8 * 5 = 40 inches. 



 

Why Should you use an arc and sector worksheet for your students? 

 

  • Using these worksheets will help your students to easily calculate questions on arc length and sector. 


 

  • Arc length and Sector are parts of a circle. Hence, solving these worksheets will help your students to be well versed with the concept. 
     

Download Equations with Arc and Sector Worksheets PDF

You can download and print these super fun equations with an arc and sector worksheet pdf form here for your students.

Teaching Arcs and Sectors Easily 

 

  •  Firstly, note down all the information given. Such as length, radius, and so on. 


 

  • Then, use an appropriate formula to get a result. 



 

Here is an example to solve a question on arcs and sectors. Let’s look at the given example to understand more about the arcs and sectors of a circle. 

 

                                          Area of a Sector = (θ/360º) × πr2

                                                Arc Length =  θ × r, wh...

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