Circle And System Of Circles Question 91
Question: The area of the circle whose centre is at (1, 2) and which passes through the point (4, 6) is
[MNR 1982; IIT 1980; Karnataka CET 1999; MP PET 2002; DCE 2000; Pb. CET 2002]
Options:
A) $ 5\pi $
B) $ 10\pi $
C) $ 25\pi $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Obviously radius $ =\sqrt{{{(1-4)}^{2}}+{{(2-6)}^{2}}}=5 $
Hence the area is given by $ \pi r^{2}=25\pi \ sq.\ units $ .