Sector Area - Radius and Angle to Equation (Level 2)

This math topic focuses on calculating the area of shaded sectors in circles using given radius lengths and angle measures. It involves identifying the correct equations for the area based on different circle parameters. Through these problems, students learn to apply formulas for sector area calculations in various scenarios, thus enhancing their understanding of geometry in circles at an intermediate level. Each question provides multiple choice answers for students to interpret and select the correct mathematical expression representing the area of the sector.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Sector Area - Radius and Angle to Equation Worksheet

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Geometry of Circles - Sector Area - Radius and Angle to Equation
1
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing Pi times 4 over 6
b A LaTex expression showing 6 over Pi times 4
c A LaTex expression showing Pi to the power of 2 times 6 over 4
2
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing 2 over Pi times 25
b A LaTex expression showing Pi to the power of 2 times 2 over 25
c A LaTex expression showing Pi times 25 over 2
d A LaTex expression showing Pi times 2 over 25
e A LaTex expression showing 25 over Pi times 2
3
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing 25 over Pi times 2
b A LaTex expression showing Pi to the power of 2 times 2 over 25
c A LaTex expression showing Pi times 25 over 2
d A LaTex expression showing 2 over Pi times 25
4
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing 4 over Pi times 16
b A LaTex expression showing Pi times 16 over 4
c A LaTex expression showing 16 over Pi times 4
d A LaTex expression showing Pi to the power of 2 times 4 over 16
5
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing Pi times 12 over 49
b A LaTex expression showing Pi to the power of 2 times 12 over 49
c A LaTex expression showing Pi times 49 over 12
d A LaTex expression showing 49 over Pi times 12
6
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing Pi times 4 over 16
b A LaTex expression showing 16 over Pi times 4
c A LaTex expression showing Pi times 16 over 4
d A LaTex expression showing Pi to the power of 2 times 4 over 16
7
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing Pi times 12 over 1
b A LaTex expression showing 12 over Pi times 1
c A LaTex expression showing Pi times 1 over 12
d A LaTex expression showing 1 over Pi times 12
8
An svg image showing a math problem
What equation would describe the area of the shaded sector of the circle?
a A LaTex expression showing Pi times 3 over 1
b A LaTex expression showing Pi times 1 over 3
c A LaTex expression showing 3 over Pi times 1
d A LaTex expression showing 1 over Pi times 3