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What is the area of the largest circular disc cut from a square of side 2/√π units?
- a)π square units
- b)1 square units
- c)π2 square units
- d)2 square units
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the area of the largest circular disc cut from a square of sid...
Side of the square = Diameter of the circle
∴ Radius of the circle, r = 2/√π × ½ = 1/√π
Area of the circle = π r2
⇒ π × 1/√π × 1/√π = 1 square units
∴ Radius of the circle, r = 2/√π × ½ = 1/√π
Area of the circle = π r2
⇒ π × 1/√π × 1/√π = 1 square units
Most Upvoted Answer
What is the area of the largest circular disc cut from a square of sid...
The diameter of the circular disc is equal to the side length of the square because the disc is inscribed within the square. Therefore, the diameter of the disc is 2/ because the side length of the square is 2/.
The formula for the area of a circle is A = πr^2, where r is the radius. The radius of the disc is half of the diameter, so the radius is 1/.
Plugging this into the formula, we have:
A = π(1/)^2
A = π/^2
Therefore, the area of the largest circular disc cut from a square of side 2/ is π/^2.
The formula for the area of a circle is A = πr^2, where r is the radius. The radius of the disc is half of the diameter, so the radius is 1/.
Plugging this into the formula, we have:
A = π(1/)^2
A = π/^2
Therefore, the area of the largest circular disc cut from a square of side 2/ is π/^2.
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What is the area of the largest circular disc cut from a square of side 2/√π units?a)π square unitsb)1 square unitsc)π2square unitsd)2 square unitsCorrect answer is option 'B'. Can you explain this answer?
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