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Formula for Area of Arc Length & Sectors WORKSHEET
Suitable for Grades: Geometry, IM 3
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.
Formula for Area of Arc Length & Sectors WORKSHEET DESCRIPTION
Let your learners discover the general formulae for area of a sector and arc length with this worksheet.
Here, students are asked to fill in the blanks to find the area of various sectors, from a quarter to an angle of 60°, any sized angle, and finally a general formula with any sized angle and radius length.
This process is repeated for arc length, again starting with a quarter circle and ending with a general formula.
Practice using these formulae next with the worksheet “Area of Arc Lengths and Sectors”.
