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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?
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Verified 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
Area = 22*3.5*3.5/7 = 269.5/7 = 38.5 m2
Most Upvoted 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.
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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Community 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
Area = 22*3.5*3.5/7 = 269.5/7 = 38.5 m2
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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 m2b)36.5 m2c)30.5 m2d)38.5 m2e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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