Chapter 9 Area. Lesson 9.1 Area – The measure of the region enclosed by the figure. C-81 The area of a rectangle is given by the formula A=bh, where A.

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Presentation transcript:

Chapter 9 Area

Lesson 9.1 Area – The measure of the region enclosed by the figure. C-81 The area of a rectangle is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the rectangle. (Rectangle Area conjecture)

C – 82 The area of a parallelogram is given by the formula A = bh, where A is the area, b is the length of the base, and h is the height of the parallelogram. (Parallelogram Area Conjecture)

Lesson 9.2 C-83 The area of a triangle is given by the formula A = ½ bh, where A is the area, b is the length of the base, and h is the height of the triangle. (Triangle Area Conjecture)

C-84 The area of a trapezoid is given by the formula A = ½ h(b 1 +b 2 ), where A is the area, b 1 and b 2 are the lengths of the two bases, and h is the height of the trapezoid (Trapezoid Area conjecture)

C – 85 The area of a kite is given by the formula A = ½ d 1 d 2 where A is the area, d 1 and d 2 are the lengths of the diagonals. (kite Area Conjecture)

Lesson 9.4 Apothem – a perpendicular segment from the center of the polygon’s circumscribed circle to a side of the polygon.

C-86 The area of a regular polygon is given by the formula A = ½ asn, where A is the area, a is the apothem, s is the length of each side, and n is the number of sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn = p. The formula can also be written as A = ½ ap. (Regular polygon Area Conjecture)

Lesson 9.5 C-87 The area of a circle is given by the formula A = π r 2, where A is the area and r is the radius of the circle (Circle Area Conjecture)

Lesson 9.6 Sector of a circle – the region between two radii of a circle and the included arc. Area

=

Segment of a circle – the region between a cord of a circle and the included arc. Area

- =

Annulus – the region between two concentric circles. Area

- =

Lesson 9.7 Surface Area – the area of each of the faces.Prism

Slant height – the height of each triangular lateral face.Pyramid

Cylinder C=2 πr

Cone πrl + πr 2