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Length of rectangle is equal to the radius of a circle whose circumference is 176 cm and breadth of rectangle is equal to the side of square whose area is 196 cm², then find the length of a diagonal of that rectangle? 
  • a)
    2√130 cm 
  • b)
    14√5 cm 
  • c)
    14√3 cm 
  • d)
    14√6 cm 
  • e)
    14√2 cm 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Length of rectangle is equal to the radius of a circle whose circumfer...
Radius of circle (r) =  = length of rectangle
= 28 cm
Breadth of rectangle (b) = √196 = 14 cm
∴ Diagonal of rectangle =
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Most Upvoted Answer
Length of rectangle is equal to the radius of a circle whose circumfer...
We are given that the circumference of the circle is 176 cm. The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C / 2π

Substituting the given value for C, we get:

r = 176 / (2π) ≈ 28.01 cm

So the radius of the circle is approximately 28.01 cm.

We are also given that the area of the square is 196 cm². The formula for the area of a square is:

A = s²

where A is the area and s is the side length. We can rearrange this formula to solve for the side length:

s = √A

Substituting the given value for A, we get:

s = √196 = 14 cm

So the side length of the square is 14 cm.

Finally, we are told that the length of the rectangle is equal to the radius of the circle and the breadth of the rectangle is equal to the side length of the square. Therefore, the length of the rectangle is approximately 28.01 cm and the breadth of the rectangle is 14 cm.
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Length of rectangle is equal to the radius of a circle whose circumference is 176 cm and breadth of rectangle is equal to the side of square whose area is 196 cm², then find the length of a diagonal of that rectangle?a)2√130 cmb)14√5 cmc)14√3 cmd)14√6 cme)14√2 cmCorrect answer is option 'B'. Can you explain this answer?
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