Question

Point (4, 5) is the centre of a circle. A point (9, 11) is lying on a circle. Find the area of the circle.

A 58π unit² Correct Answer Incorrect Answer
B 62π unit² Correct Answer Incorrect Answer
C 45π unit² Correct Answer Incorrect Answer
D 61π unit² Correct Answer Incorrect Answer

Solution

In the figure (4,5) is the centre of the circle. ∴ Radius (r) = √((4-9)^2+(5-11)²)     = √(25+36) = √61 ∴ Area of the circle = πr² = π(√61)² = 61π unit²

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