Short Quiz

Question 1 of 5

An arc of a circle of radius \(6.3\text{ m}\) subtends \(120^\circ\) at the centre. Find its length using \(\pi=\dfrac{22}{7}\).

A \(6.6\text{ m}\) B \(13.2\text{ m}\) C \(19.8\text{ m}\) D \(26.4\text{ m}\)

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Question 2 of 5

A circular lawn has radius \(14\text{ m}\). A \(60^\circ\) sector is used as a flower bed. What area remains as grass? Use \(\pi=\dfrac{22}{7}\).

A \(\dfrac{308}{3}\text{ m}^2\) B \(\dfrac{770}{3}\text{ m}^2\) C \(\dfrac{1540}{3}\text{ m}^2\) D \(616\text{ m}^2\)

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Question 3 of 5

A sprinkler waters a \(90^\circ\) sector of radius \(14\text{ m}\). A boundary is placed along the curved edge and the two radii. What total boundary length is required? Use \(\pi=\dfrac{22}{7}\).

A \(22\text{ m}\) B \(28\text{ m}\) C \(44\text{ m}\) D \(50\text{ m}\)

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Question 4 of 5

Consider all rectangles having perimeter \(40\) units. Which statement is correct?

A The maximum area is \(100\) square units, and the minimum is \(20\) B The maximum area is \(100\) square units, but there is no smallest positive area C The maximum area is \(80\) square units D All such rectangles have equal area

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Question 5 of 5

A cyclic quadrilateral has consecutive side lengths \(5\text{ cm},5\text{ cm},7\text{ cm},7\text{ cm}\). Find its area.

A \(24\text{ cm}^2\) B \(30\text{ cm}^2\) C \(35\text{ cm}^2\) D \(49\text{ cm}^2\)

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