Sunday, March 23, 2014

The Volume of Pyramids

 
 
 
 
 
Find the volume of a square pyramid whose base side (a) is 2 feet, and whose height (h) is 9 feet. Use the following formula for finding the volume of the pyramid:      V = (a^2 × h) /3
 
 
 
 
 
Great Pyramids of Giza in Egypt, 2470-2560 B.C.
 
 
 
 
Rectangular Pyramid: V = (lwh) /3
 
 
 
 

 
 
 
 
Construction Of The Great Pyramids (Architect: J.P. Houdin) National Geographic Edition  
 
 
 
 
 

Sunday, January 12, 2014

Graphing Calculator

Adam Z. Dotson


Graphing Calculator


Equation: y = 3sin(2πx)


 
Amplitude = 3
Frequency = 6.28 or (2π)
Period = 2π
 
 
2π = 6.28 on the graph




 
 
 
 
 
 

Saturday, January 11, 2014

Language of Trigonometry

Adam Z. Dotson


Classify the angle for the given measure of
an angle.

177° Obtuse Angle
90° < 177° < 180°
 
87.177° Acute Angle
0° < 87.177° < 90°

Radians to degrees.
π/2 radian =  π/2 × 180°/π = 180°/2 = 90°


Radias, r   Arc Length, s   Ɵ = Central Angle


r = 5 feet s = 30 feet
Ɵ = s/r   Ɵ = 30ft/5ft = 6 radians
 
r = 8 yards s = 18 yards
Ɵ = s/r   Ɵ = 18yd/8yd = 9/4 radians
 
Central angles are angles formed by any two
radii in a circle. The vertex is the center
of the circle. In Figure 1, ∠ AOB is a
central angle.

 

Figure 1 A central angle of a circle.