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Chapter 8 - Area Rectangle Area Conjecture The area of a rectangle is given by the formula …. A = bh C-75 p. 411...where A is the area, b is the length.

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Presentation on theme: "Chapter 8 - Area Rectangle Area Conjecture The area of a rectangle is given by the formula …. A = bh C-75 p. 411...where A is the area, b is the length."— Presentation transcript:

1 Chapter 8 - Area Rectangle Area Conjecture The area of a rectangle is given by the formula …. A = bh C-75 p. 411...where A is the area, b is the length of the base, and h is the height of the rectangle. Note: You can use this formula two ways, each one using a different side as base

2 Chapter 8 - Area Parallelogram Area Conjecture The area of a parallelogram is given by the formula …. A = bh C-76 p. 412...where A is the area, b is the length of the base, h is the parallelogram height. Note: You can use this formula two ways, using a different side as the base.

3 Chapter 8 - Area Triangle Area Conjecture The area of a triangle is given by the formula …. A = 1/2 bh C-77 p. 417...where A is the area, b is the length of the base, and h is the height of the triangle. Note: This formula can be used three different ways, each one using a different side as the base.

4 Chapter 8 - Area Trapezoid Area Conjecture The area of a trapezoid is given by the formula …. A = 1/2 (b 1 +b 2 )h C-78 p. 418...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.

5 Chapter 8 - Area Kite Area Conjecture The area of a kite is given by the formula …. A = 1/2 d 1 d 2 C-79 p. 418...where A is the area, d 1 is the length of one diagonal, d 2 is the length of the other diagonal of the kite.

6 Chapter 8 - Area Regular Polygon Area Conjecture The area of a regular polygon is given by the formula …. A = 1/2 asn C-80 p. 427...where A is the area, a is the length of the apothem, s is the length of a side, and n is the number of sides.

7 Chapter 8 - Area Regular Polygon Area Conjecture, coda The area of a regular polygon is also given by the formula …. A = 1/2 aP C-80 p. 427...where A is the area, a is the length of the apothem, P is the perimeter. ( Note: P = sn )

8 Chapter 8 - Area Pick’s Formula If A is the area of a polygon whose vertices are lattice points, b is the number of lattice points on the boundary of the polygon, and i is the number of interior lattice points, then.... A =1/2 b + i -1 p. 431

9 Chapter 8 - Area Circle Area Conjecture The area of a circle is given by the formula... A = πr 2 C-81 p. 434...where A is the area and r is the radius of the circle.

10 Chapter 8 - Area Sector Area Formula The area of a sector of a circle is given by the formula... A = (x/360)πr 2 Section 8-6 p. 437...where A is the sector area, x is the number of degrees of the sector arc, and r is the radius of the circle.

11 Chapter 8 - Area Segment Area Formula The area of a segment of a circle is given by the formula... A = (x/360)πr 2 Section 8-6 p. 437...where A is the sector area, x is the number of degrees of the sector arc, and r is the radius of the circle.

12 Chapter 8 - Area Annulus Area Formula The area of an annulus is given by the formula... A = π(R 2 - r 2 ) Section 8-6 p. 437...where A is the sector area, R is the radius of the outer circle r is the radius of the inner circle.


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