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Question: Area of circle if longest chord y = 2x intersect circle at points whose ordinates are 6 & –2 :...

Area of circle if longest chord y = 2x intersect circle at points whose ordinates are 6 & –2 :

A

12.5p

B

10p

C

15p

D

20p

Answer

20p

Explanation

Solution

Let points are A(3, 6), B(–1, –2)

Area = pr2 = πAB24\frac{\pi AB^{2}}{4}= π×804\frac{\pi \times 80}{4} = 20p