<h3>Exact area = 12pi - 9*sqrt(3) square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>
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Work Shown:
Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure
A = area of northern sector (you can think of it as a pizza slize)
A = (angle/360)*pi*r^2
A = (120/360)*pi*6^2
A = 12pi
B = area of triangle
B = (1/2)*side1*side2*sin(included angle)
B = (1/2)*6*6*sin(120)
B = 18*sqrt(3)/2
B = 9*sqrt(3)
C = area of shaded region
C = A - B
C = 12pi - 9*sqrt(3) .... exact area
C = 22.1106545749577 ... use a calculator to get the approximate area
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
You cannot simplify 30/q anymore
Answer:
363
Step-by-step explanation:
