If the diameter of a circle is increased by 100%, its area is increased by ______?
- 200%
- 300%
- 400%
- None of these
Explanation
Original radius = r
Original area = pi r^2
New diameter = 2 × original diameter
New radius = 2r
New area = pi (2r)^2 = 4 pi r^2
Increase in area = New area - Original area
= 4 pi r^2 - pi r^2 = 3 pi r^2
Percentage increase = (3 pi r^2 / pi r^2) × 100
= 300%
Related MCQs
- Does not changes
- Decreased by 4%
- Increased by 4%
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 3a
- 2.5a
- 2a
- 1.5a
اس سوال کو وضاحت کے ساتھ پڑھیں
- 200
- 180
- 190
- None of these