Learning Goal: Apply understanding of sector area to an inquiry-based task and explore the similarities and differences between arc length and sector area.

HSG.C.B.5 – 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.

TEKS

G.12(C) – apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems

G.12(D) – describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle