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
_____
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.
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Answer:
24 games
Step-by-step explanation:
7 to enter
0.5 per game
19 dollars spent
19 = 7 + 0.5x
19 - 7 = 0.5x
12 = 0.5x
x = 12/0.5
x = 24
a = 2x + 6xz
a = x(2 + 6z) <em>factored out "x" on right side</em>
a/(2 + 6z) = x <em>divided both sides by (2 + 6z)</em>
Answer: x = 
