Illustrative Mathematics - Geometry - Unit 7 - Lesson 8

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.

Tags

A.SSE.1.a

G.GMD.1

G.C.5

A.SSE.1.b

6.G.4

Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.

Tags

A.SSE.1.a

G.GMD.1

G.C.5

A.SSE.1.b

6.G.4

How do the values of x and y compare? Explain your reasoning.

Tags

A.SSE.1.a

G.GMD.1

G.C.5

A.SSE.1.b

6.G.4

Points A,B, and C are the corners of a triangular park. The park district is going to add a set of swings inside the park. The goal is to have the swings equidistant from the vertices of the park. Find a location that meets this goal. Explain or show your reasoning.

Tags

A.SSE.1.a

G.GMD.1

G.C.5

A.SSE.1.b

6.G.4

This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 8 units. What is the volume of this solid?

Tags

A.SSE.1.a

G.GMD.1

G.C.5

A.SSE.1.b

6.G.4