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The biggest possible circle is inscribed in rectangle of length 10 m and breadth 7 m. Then the area of circle is?
  • a)
    35.8 m2
  • b)
    36.5 m2
  • c)
    30.5 m2
  • d)
    38.5 m2
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The biggest possible circle is inscribed in rectangle of length 10 m a...
Radius = Breadth /2 = 7/2 = 3.5
Area = 22*3.5*3.5/7 = 269.5/7 = 38.5 m2
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Community Answer
The biggest possible circle is inscribed in rectangle of length 10 m a...
To find the area of the circle inscribed in the rectangle, we need to determine the radius of the circle first.

Step 1: Finding the diameter of the circle
The diameter of the circle is equal to the shorter side of the rectangle, which is 7 meters.

Step 2: Finding the radius of the circle
The radius of the circle is half the diameter, so the radius is 7/2 = 3.5 meters.

Step 3: Finding the area of the circle
The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius.

Substituting the value of the radius, we get:
A = π(3.5)^2
A = π(12.25)
A ≈ 38.48 m^2

Rounding off the area to one decimal place, the area of the circle is approximately 38.5 m^2.

Therefore, the correct answer is option D) 38.5 m^2.
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