Question : Which of the following statements is INCORRECT?
Option 1: The radius is the longest chord of a circle.
Option 2: The ratio of the circumference of two circles is equal to the ratio of their radii.
Option 3: The perpendicular drawn from the centre of the circle on the chord of the circle bisects the chord.
Option 4: Circles are congruent to each other if they have equal radii.
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Correct Answer: The radius is the longest chord of a circle.
Solution : The radius is not the longest chord of the circle. Diameter is the longest chord of a circle which passes through the centre joining the two points on the circumference of a circle. Diameter = 2 × Radius Hence, the correct answer is 'The radius is the longest chord of a circle.'
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Question : Select the INCORRECT statement with respect to the properties of a circle.
Question : Two circles each of radius 36 cm are intersecting each other such that each circle passes through the centre of the other circle. What is the length of the common chord to the two circles?
Question : A 15 cm long perpendicular is drawn from the centre of a circle to its 40 cm long chord. Find the radius of the circle.
Question : The perpendicular distance between the centre of a circle and the longest chord of that circle is _______.
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