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Area of a Sector WORKSHEET
Suitable for Grades: Geometry, IM 1
CCSS: HSG.C.B.5
CCSS Description: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
Area of a Sector WORKSHEET DESCRIPTION
This worksheet on area of a sector is designed to develop students' understanding of how to find the area of a portion of a circle.
In Section A, students are introduced to the concept by first finding the area of a full circle. They then calculate the area of shaded sectors by first determining what fraction of the circle is shaded, which also helps them understand the central angle.
Section B builds on this as students calculate the area of shaded sectors through a fill-in-the-gaps exercise, progressing to independently calculating area from a given radius and central angle.
Section C extends this learning by challenging students to use the area of a sector to find a missing radius or angle, requiring them to work backward from the area.
In Section A, students are introduced to the concept by first finding the area of a full circle. They then calculate the area of shaded sectors by first determining what fraction of the circle is shaded, which also helps them understand the central angle.
Section B builds on this as students calculate the area of shaded sectors through a fill-in-the-gaps exercise, progressing to independently calculating area from a given radius and central angle.
Section C extends this learning by challenging students to use the area of a sector to find a missing radius or angle, requiring them to work backward from the area.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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This area of a sector worksheet is designed for students in Geometry and IM 1 and aligns with Common Core State Standards.