Geometry | Unit 7 | Lesson 9: Part to Whole | Practice Problems

A circle has radius 6 units. Find the area of a sector of this circle which defines the arc length 10 units.

• A: a sector with a radius of 6 units and a central angle of 30 degrees

• B: a sector with a radius of 6 units and a central angle of 45 degrees

• C: a sector with a radius of 3 units and a central angle of 60 degrees

• D: a sector with a radius of 3 units and a central angle of 120 degrees

• E: a sector with a radius of 3 units and a central angle of 180 degrees

A circle has radius 4 units and a central angle measuring 45 degrees. What is the length of the arc defined by the central angle?

Clare and Diego are discussing inscribing circles in quadrilaterals. Do you agree with either of them? Explain or show your reasoning.