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Sagot :
Answer:
- (D) 1/2 - 3√3/4π
Step-by-step explanation:
- Problem 22 is not fully visible with missing details
- Problem 25 is solved only
Diameter = 20 cm → radius = 10 cm
Each triangle has its side equal to radius = 10 cm
Each shaded region is the difference of area of the sector and triangle
Each sector is 60° as triangles are equilateral
Area of circle is:
- πr² = 100π
Area of each triangle is:
- √3/4a² = √3/4r²= 100×√3/4
So the shaded area is:
- 3(πr²/6 - √3/4a²) =
- 3(π×10²/6 - √3/4×10²) =
- 100(π/2 - 3√3/4) =
- 100π(1/2 - 3√3/4π)
Since 100π is the area of circle, the shaded area is:
- 1/2 - 3√3/4π part of area of circle if we divide the shaded area by the area of circle.
Correct choice is D
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