Short Quiz

Question 1 of 5

Which statement correctly defines a circle?

A The set of all points inside a closed curve B The set of all points in a plane at a fixed distance from a fixed point C The set of all points at different distances from a fixed point D Any closed figure with equal sides

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Question 2 of 5

A regular hexagon is inscribed in a circle of radius \(10\text{ cm}\). What are the side length and the distance of each side from the centre?

A \(10\text{ cm}\) and \(5\sqrt{3}\text{ cm}\) B \(5\text{ cm}\) and \(5\sqrt{3}\text{ cm}\) C \(10\sqrt{3}\text{ cm}\) and \(5\text{ cm}\) D \(20\text{ cm}\) and \(10\text{ cm}\)

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Question 3 of 5

A support rod joins the centre \(O\) of a circular window to the midpoint \(M\) of a chord \(AB\). How must the rod meet the chord?

A It must be parallel to \(AB\) B It must be perpendicular to \(AB\) C It must make a \(45^\circ\) angle with \(AB\) D No fixed angle is determined

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Question 4 of 5

Two towns \(A\) and \(B\) are \(18\text{ km}\) apart. A circular ring road must pass through both towns. What is the smallest possible radius of the road?

A \(4.5\text{ km}\) B \(9\text{ km}\) C \(18\text{ km}\) D \(36\text{ km}\)

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Question 5 of 5

A fixed chord \(AB\) is viewed from two points \(P\) and \(Q\) on the same arc of the circle. If \(\angle APB=46^\circ\), what is \(\angle AQB\)?

A \(23^\circ\) B \(46^\circ\) C \(92^\circ\) D Cannot be determined

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