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Drill. Write your homework in your planner. Take out your homework. Solve for all angle measures:. Homework. Quiz Next Class. polygon interior and exterior angles perimeter and area of polygons circumference, arc length, area of circles and sectors central and inscribed angles
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Drill • Write your homework in your planner. • Take out your homework. • Solve for all angle measures:
Quiz Next Class • polygon interior and exterior angles • perimeter and area of polygons • circumference, arc length, area of circles and sectors • central and inscribed angles • inscribed polygons
Tangent • A line that only touches the edge of a circle one time. • A circle can have multiple tangents.
Review: Polygon Angles • Formula for the sum of the interior angles of a polygon: 180(n-2) where n=number of sides. • In a regular polygon each angle has a measure of 180(n-2)÷n. • The exterior angles of any polygon will always add to 360°.
Review: Perimeter and Area • Perimeter: add the side lengths together • Area of a regular polygon: • Apothem: line from center perpendicular to a side • Find the area of triangles (½bh) where the apothem is the height and the side length is the base • Multiply by the number of triangles (number of sides)
Review: Circumference, Arc Length, Area of Circles and Sectors • C=πd • A=πr2 • Arc Length: • Area of Sector:
Review: Central and Inscribed Angles • The measure of an arc=the measure if the central angle • The measure of an inscribed angle is ½ of the intercepted arc
Review: Inscribed Polygons • The hypotenuse of a right triangle inscribed in a circle is the diameter of the circle. • When a quadrilateral is inscribed in a circle the opposite angles are supplementary.