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If the circumference and area of a circle are numerically equal, then the diameter is equal to :
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- area of the circle
- π/2
- 2π
- 4
- area of the circle
Correct Option: D
We know that The area of circle = πr²
4 |
[where D : diameter of circle] and Circumference of circle = 2πr = πD
Now, according to question,
= πD | ||
4 |
D² = 4D
D² – 4D = 0
⇒ D(D – 4) = 0 ⇒ D = 4