The endpoints of a diameter of a circle are A(2, 1) and B(5, 5). What is the area of the circle in terms of #π#?

1 Answer
Binayaka C.
Oct 12, 2016

Area of the circle is #6.25pi# sq.unit

Explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at #((5+2)/2,(5+1)/2) or (7/2,3)#,which is centre. Radius is the distance from end point #(5,5)#to centre #(7/2,3) :. r=sqrt((5-7/2)^2+(5-3)^2)=sqrt(1.5^2+4) =sqrt 6.25=2.5 :.#
Area of the circle is #A_c=pi*r^2=pi*2.5^2=6.25pi# sq.unit[Ans]

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