# Perimeter, Circumference, Area, Pythagorean Theorem….

Pythagorean Theorem, Perimeter, Circumference, Area . Section 15 Pythagorean Theorem Can only be used on right triangles. The hypotenuse is

always the largest side and is always across from the right angle. (hyp) 2 ( side) 2 ( side) 2 Example Find the length of the missing side.

Remember, c is the hypotenuse because it is across from the 2 right angle c2 a 2 b box. c 2 32 52

c 2 9 25 c 2 34 c 34 or 5.8 Example If p = 4 and q = 5, find t. 2 2

2 2 t p q t 4 5 2 2 2

t 16 25 2 t 9 t 3 Perimeter Perimeter 2 w 2l Perimeter m n b Perimeter

Circumfere nce 2r For a circle, the perimeter around the figure is called the circumference.

r stands for the radius of the circle. Find the Perimeter.. P 2 w 2l P 2(5) 2(10) 5 P 10 20 10 P 30

Find the Perimeter.. P 3( side) 15 15 P 3(15) P 45 15 Find Circumference

radius 7 C 2r C 2 (7) C 14 Find the Perimeter

Rectangle: P=20+60+60 = 140 Semi-Circle: C=(1/2)2(3.14)(10) = 31.4 Total = 140 + 31.4 Answer = 171.4 Area

of a diameter. Find the Area HINTS Find BC Use Pythagorean Theorem to find

DB. This is the height of the triangle. Use area formula. BC 16 4 12 2 2 2 BD 12 13

2 BD 144 169 BD 2 25 BD 5 1 Area (16)(5) 2 Area (8)(5) Area 40 square units Find the area

Area r 2 Area (3) 2 Area 9 radius 3 or Area 9(3.14) 28.26 Find the Area Area length x width Area 10(5)

Area 50 sq. units 5 10 Find the area of the shaded region Asquare Acircle (8 x8) (4) 2 64 16 or 64 50.3 13.7

Assignment Worksheet

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