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If the area and circumference of a circle are numerically equal, then its radius is
  • a)
    4 units
  • b)
    π units
  • c)
    2π units
  • d)
    2 units
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the area and circumference of a circle are numerically equal, then ...
Let radius of the circle berunits.
∴ Area of the circle = Circumference of the circle 
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Most Upvoted Answer
If the area and circumference of a circle are numerically equal, then ...
Since, area and circumference are equal, ⇒ πr² = 2πr ⇒ πr² - 2πr = 0⇒ r(πr - 2π) = 0 ⇒ r = 0 or r = 2 since, r = 0 means it is a point circle jiska ki iss ques me koi mtlb nhi hai so your answer is r = 2 units.
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Community Answer
If the area and circumference of a circle are numerically equal, then ...
Explanation:

Given:
Area of the circle = Circumference of the circle

Formulae:
Area of a circle = π * r2
Circumference of a circle = 2 * π * r

Equating the two:
π * r2 = 2 * π * r

Solving for r:
r2 = 2r
r = 2 units
Therefore, the radius of the circle is 2 units. So, the correct answer is option 'D'.
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If the area and circumference of a circle are numerically equal, then its radius isa)4 unitsb)π unitsc)2π unitsd)2 unitsCorrect answer is option 'D'. Can you explain this answer?
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