G.PC.3.a
Determine the proportional relationship between the arc length or area of a sector and other parts of a circle.
Example Problems
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
Khan Academy ResourcesArcs, ratios, and radiansChallenge problems: Arc length 1Getting ready for circlesChallenge problems: Arc length 2Challenge problems: Arc length (radians) 2Challenge problems: Arc length (radians) 1Arc lengthArea of a sectorRadians & arc lengthArc length from subtended angle: radiansArea of a sectorRadians as ratio of arc length to radiusSubtended angle from arc lengthArc length from subtended angleArc length as fraction of circumference

1-on-1 AI tutoring aligned to G.PC.3.a. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →