Standard Addressed in this Unit
● G.GSR.8 Examine and apply theorems involving circles; describe and derive arc length and area of a sector; and model and explain real-life situations involving circles.
○ G.GSR.8.1 Identify and apply angle relationships formed by chords, tangents, secants and radii with circles.
○ G.GSR.8.2 Using similarity, derive the fact that the length of the arc (arc length) intercepted by an angle is proportional to the radius; derive the formula for the area of a sector. Solve mathematically applicable problems involving applications of arc length and area of sector.
○ G.GSR.8.3 Write and graph the equation of circles in standard form. • G.GSR.7 Explore the concept of a radian measure and special right triangles.
o G.GSR.7.1 Explore and interpret a radian as the ratio of the arc length to the radius of a circle
○ G.GSR.8.1 Identify and apply angle relationships formed by chords, tangents, secants and radii with circles.
○ G.GSR.8.2 Using similarity, derive the fact that the length of the arc (arc length) intercepted by an angle is proportional to the radius; derive the formula for the area of a sector. Solve mathematically applicable problems involving applications of arc length and area of sector.
○ G.GSR.8.3 Write and graph the equation of circles in standard form. • G.GSR.7 Explore the concept of a radian measure and special right triangles.
o G.GSR.7.1 Explore and interpret a radian as the ratio of the arc length to the radius of a circle