SSC
Quantitative Aptitude
Circular Measurement
Question Bank
Circle and Its Properties (II)
question_answer
A is the centre of circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two circles touch externally, then the area of the circle with diameter AB is
A)\[36\,\pi \]
B)\[64\,\pi \]
C)\[144\,\pi \]
D)\[256\,\pi \]
Correct Answer:
A
Solution :
[a] From diagram, Length of diameter AB = 8 + 4 = 12 \[\therefore \]Radius of circle of diameter \[AB=\frac{12}{2}=6\] \[\therefore \]Area of circle of diameter \[AB=\pi {{r}^{2}}=\pi \,{{(6)}^{2}}=36\pi \,c{{m}^{2}}\]