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# Circles, arcs, chords, tangents ...

## Interactive & Exploratory Activities

Product Segments Chords
Tangents Secants Arcs Angles
Central Angle of a Circle
Inscribed Angle of a Circle
Chord, Tangent and the Circle
Angles of intersecting chords theorem
Side Length of Tangent & Secant of a Circle

### Circle Calculator

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### Big Circle Q

To solve this probelm, you must remember how to find the meaure of the interior angles of a regular polygon. In the case of a pentagon, the interior angles have a measure of (5-2) •180/5 = 108 °. Therefore, each inscribed angle creates an arc of 216°

Use the inscribed angle formula and the formula for the angle of a tangent and a secant to arrive at the angles

• mBDE = 72 °
• mBFC = 72 °
• mAGD = ½(144 −72) = 36 °