<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
Answer:
512x−2+8=18
Step 1: Simplify both sides of the equation.
512x−2+8=18
512x+−2+8=18
(512x)+(−2+8)=18(Combine Like Terms)
512x+6=18
512x+6=18
Step 2: Subtract 6 from both sides.
512x+6−6=18−6
512x=12
Step 3: Divide both sides by 512.
512x512=12/512
x= 3/128
Answer:
x=3/128
This is just here for the 20 character limit but the answer is in the picture.
