Short Quiz

Question 1 of 5

A triangle is enlarged so that each side becomes three times the corresponding original side. The new area is:

A Three times the original area B Six times the original area C Nine times the original area D Twenty-seven times the original area

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Question 2 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 3 of 5

Find the perimeter of a sector of radius \(14\text{ cm}\) and central angle \(75^\circ\). Use \(\pi=\dfrac{22}{7}\).

A \(\dfrac{55}{3}\text{ cm}\) B \(\dfrac{84}{3}\text{ cm}\) C \(\dfrac{139}{3}\text{ cm}\) D \(\dfrac{194}{3}\text{ cm}\)

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Question 4 of 5

According to Brahmagupta's formula, what is the area of a cyclic quadrilateral with sides \( a, b, c, d \) and semi-perimeter \( s \)?

A \( \sqrt{s(s-a)(s-b)(s-c)} \) B \( \sqrt{(s-a)(s-b)(s-c)(s-d)} \) C \( \frac{1}{2}(ab + cd) \) D \( \sqrt{abcd} \)

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Question 5 of 5

A stadium boundary consists of two straight sections of \(80\text{ m}\) each and two semicircular ends whose common diameter is \(60\text{ m}\). Find the total boundary length. Use \(\pi=\dfrac{22}{7}\).

A \(\dfrac{1320}{7}\text{ m}\) B \(\dfrac{1880}{7}\text{ m}\) C \(\dfrac{2440}{7}\text{ m}\) D \(\dfrac{3560}{7}\text{ m}\)

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