Answer:
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Step-by-step explanation:
<em>Answer:</em>
<em>d = 10</em>
<em>Step-by-step explanation:</em>
<em>3/4(6 + d) = 12</em>
<em>(18 + 3d)/4 = 12</em>
<em>18 + 3d = 48</em>
<em>3d = 48 - 18</em>
<em>3d = 30</em>
<em>d = 30 : 3</em>
<em>d = 10</em>
The area of a circular sector of central angle α (in radians) in a circle of radius r is given by
... A = (1/2)r²×(α - sin(α))
Your area is expected to be computed as the sum of the areas of a sector with angle π/3 in a circle of radius 8 and a sector with angle π/2 in a circle of radius 6.
... A = (1/2)8²×(π/3 - sin(π/3)) + (1/2)6²×(π/2 - sin(π/2))
... A ≈ 16.07
Radii are in inches so the units of area will be in². The appropriate choice is
... 16.10 in²
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It should be noted that the geometry described is impossible. Chord CD of circle A will have length 6√2 ≈ 8.4853 inches. Chord CD of circle B will have length 8 inches. They cannot both be the same chord.