A) \[\text{14 cm}\]
B) \[\text{28 cm}\]
C) \[\text{22 cm}\]
D) \[\text{44 cm}\]
Correct Answer: C
Solution :
| [c] Let R be the radius of the new circle. |
| Circumference of new circle |
| \[=\left( 2\pi \times \frac{34}{2}+2\pi \times \frac{10}{2} \right)\] |
| \[=2\pi \times (17+5)=(2\pi \times 22)cm\] |
| \[\Rightarrow \,\,\,2\pi R=2\pi \times 22\,\,\,\,\Rightarrow \,\,\,\,R=22cm\] |
| \[\therefore \] Radius of the new circle is\[\text{22 cm}\]. |
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