A) 17cm
B) 19cm
C) 7cm
D) 11cm
Correct Answer: B
Solution :
| Let r cm be the radius of the required circle. According to the question, we have Circumference of the required circle having radius r cm = Circumference of the circle having radius 13 cm + Circumference of the circle having radius 6 cm |
| \[\therefore \,\,2\pi r=2\pi \left( 13 \right)+2\pi \left( 6 \right)\] |
| [\[\because\] circumference of circle\[=2\pi r\]] |
| \[\Rightarrow \,\,\,2\pi r=2\pi \left( 13+6 \right)\] |
| \[\Rightarrow \,\,\,r=19\,cm\] |
| Hence, the radius of the required circle is 19 cm. |
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