-
When the circumference of a toy ballon is increased from 20 cm to 25 cm, its radius (in cm) is increased by :
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- 5
- 5/π
- 5/2π
- π/5
- 5
Correct Option: C
Here, we can treat the balloon as sphere.
Its circumference = 2πr
∴ 2πr1 = 20 ...(i)
2πr2 = 25 ....(ii)
On dividing equation (ii) by (i),
⇒ | = | ⇒ | = | ||||
2πr1 | 20 | r1 | 4 |
∴ Increase = r2 – r1
= | r1 - r1 | r1 | ||
4 | 4 |
= | × | = | [From(i) | |||
4 | 2π | 2π |