Circles
Circle vocabulary; central angles; arc measure and arc length (NEW v9); radians (NEW v9); sector area; chords; tangents; inscribed angles (NEW v9).
13 worksheetsRead the explainer →
- 1Circle VocabularyIdentify radius, diameter, chord, arc, sector, secant, and tangent in circle diagrams.adaptive
- 2Central AnglesRelate central angle measure to the intercepted arc measure.adaptive
- 3Arc Measure and Arc LengthCalculate arc length using L = (θ/360) × 2πr.adaptive
- 4Convert Between Radians and DegreesConvert angle measures between degrees and radians using π rad = 180°.adaptive
- 5Circumference and Area ReviewApply C = 2πr and A = πr² using given radius or area.adaptive
- 6Area of SectorsCalculate sector area using A = (θ/360) × πr².adaptive
- 7Perpendicular Chords and BisectorsApply the theorem that the perpendicular from the centre bisects a chord.adaptive
- 8Arcs and ChordsRelate equal chords to equal arcs and find chord lengths.adaptive
- 9Tangent LinesApply the property that a tangent is perpendicular to the radius at the point of tangency.adaptive
- 10Tangents from External PointsUse the equal-tangent theorem: two tangent segments from an external point are equal.adaptive
- 11Inscribed AnglesApply the inscribed angle theorem: inscribed angle = ½ × intercepted arc.adaptive
- 12Angles from Secants and TangentsFind angles formed by two secants, two tangents, or a secant and tangent.adaptive
- 13Circles Mixed ReviewMixed review across all circle theorems and calculations.adaptive