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Area of a circle having radius 7 cm is equal to the area of a rectangle. If breadth of the rectangle is 14 cm, Find the length of the rectangle:
- a)17cm
- b)11 cm
- c)13 cm
- d)15 cm
Correct answer is option 'B'. Can you explain this answer?
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Area of a circle having radius 7 cm is equal to the area of a rectang...
Given
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Radius of circle =7 cm
Area of a rectangle = Area of circle
Breadth of rectangle =14 cm
We know that, Area of the circle π=πr2
=(22/7)×7×7=154 cm2
Area of rectangle = Length × Breadth
154 = Length ×14
Length =11 cm
Hence, the correct option is (B).
Most Upvoted Answer
Area of a circle having radius 7 cm is equal to the area of a rectang...
Given:
Radius of the circle = 7 cm
Breadth of the rectangle = 14 cm
To find:
Length of the rectangle
Formula:
Area of a circle = πr^2
Area of a rectangle = length × breadth
Calculation:
1. We know that the area of a circle is equal to the area of a rectangle.
So, we can write the equation as:
πr^2 = length × breadth
2. Substitute the given values:
π(7)^2 = length × 14
49π = length × 14
3. Divide both sides of the equation by 14:
49π/14 = length
4. Simplify the fraction:
7π/2 = length
5. Approximate the value of π as 3.14:
7 × 3.14/2 = length
21.98/2 = length
10.99 cm = length
Therefore, the length of the rectangle is approximately 10.99 cm.
Hence, the correct answer is option B: 11 cm.
Radius of the circle = 7 cm
Breadth of the rectangle = 14 cm
To find:
Length of the rectangle
Formula:
Area of a circle = πr^2
Area of a rectangle = length × breadth
Calculation:
1. We know that the area of a circle is equal to the area of a rectangle.
So, we can write the equation as:
πr^2 = length × breadth
2. Substitute the given values:
π(7)^2 = length × 14
49π = length × 14
3. Divide both sides of the equation by 14:
49π/14 = length
4. Simplify the fraction:
7π/2 = length
5. Approximate the value of π as 3.14:
7 × 3.14/2 = length
21.98/2 = length
10.99 cm = length
Therefore, the length of the rectangle is approximately 10.99 cm.
Hence, the correct answer is option B: 11 cm.
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Area of a circle having radius 7 cm is equal to the area of a rectangle. If breadth of the rectangle is 14 cm, Find the length of the rectangle:a)17cmb)11 cmc)13 cmd)15 cmCorrect answer is option 'B'. Can you explain this answer?
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