Final: Angle Into Arc
Part of the Circles section of Coddy's Geometry journey. Lesson 62 of 62.
AB is a diameter of 12 centimeters of a circle with center O. A point P on the circle is joined to A, and the radius OP is drawn. The angle ∠PAB is 30°. How long is the arc from P to B that does not pass through A? Give the length exactly, in terms of π.
Challenge
AB is a 12 cm diameter of circle O, P is on the circle, and the radius OP is drawn. Find the length of the arc from P to B, exact in terms of π, then press Check.
Try it yourself
Find the marked part of the figure
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Circles
1Parts of a Circle
Center and RadiusChords and DiametersAll Radii Are EqualDiameter Is Two RadiiRecap: Parts of a Circle4Arcs and Sectors
Arc LengthArea of a SectorFind the Central AngleThe Missing Central AngleRecap: Arcs and Sectors2Circumference
Around the CircleUsing the DiameterRadius From CircumferenceCircumference With LettersRecap: Circumference5Radii Make Isosceles
Two Radii, One TriangleBase Angles From the CenterThe Angle at the CenterIsosceles With LettersRecap: Radii and Triangles8Angles on the Same Arc
Same Arc, Same AngleUsing the Same ArcSpot the Bow TieSame Arc With LettersRecap: Same Arc3Area of a Circle
The Area FormulaArea From the DiameterRadius From the AreaCircumference to AreaRecap: Area of a Circle6Inscribed Angles
Meet the Inscribed AngleHalf the Central AngleTwice the Inscribed AngleThe Big ArcInscribed With LettersRecap: Inscribed Angles9Cyclic Quadrilaterals
Four Corners on a CircleOpposite Angles Add to 180Is It Cyclic?Cyclic With LettersRecap: Cyclic Quadrilaterals12Final Challenges
Final: The Pizza SliceFinal: Paths to the PondFinal: The Curved TrackFinal: Deep in the CircleFinal: Angle Into Arc