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Geometry 9-12 / Week 08
Week 08

Circles

// The turntable and the spotlight

All circles are similar: a dilation from the center carries one onto another. A central angle equals its arc, an inscribed angle is half its arc, an angle in a semicircle is a right angle, a tangent is perpendicular to the radius at the point of contact, and a radius perpendicular to a chord bisects it. The opposite angles of a quadrilateral inscribed in a circle add to 180°. An arc is the same fraction of the circumference as its angle is of 360°, so arc length divided by radius depends only on the angle: that ratio is the radian measure. A sector is the same fraction of the area. This week the crew chalks the turntable circle and aims the spotlight.

DAYS THIS WEEK

MONDAY

Monday

20 blocks · 4 graded

TUESDAY

Tuesday

19 blocks · 4 graded

WEDNESDAY

Wednesday

19 blocks · 3 graded

THURSDAY

Thursday

20 blocks · 4 graded

FRIDAY

Friday

20 blocks · 4 graded

SHOP DAY

Shop Day

9 blocks · 1 graded

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