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GeometryQuestion and Answers: Page 21

Question Number 204944    Answers: 1   Comments: 1

Question Number 204890    Answers: 2   Comments: 1

Question Number 204873    Answers: 1   Comments: 2

The figure below represents a design on the windows of a building. The curved part XY is an arc of a circle. The rise of the segmental arc is 10cm, its span is 100cm and XZ=ZY=120cm. calculate: (i) the radius of the circle (ii) the area of the segmental cap, correct to 2 significant figures. (iii) the total area of the design, correct to 3 significant figures.

$${The}\:{figure}\:{below}\:{represents}\:{a}\:{design} \\ $$$${on}\:{the}\:{windows}\:{of}\:{a}\:{building}.\:{The} \\ $$$${curved}\:{part}\:{XY}\:{is}\:{an}\:{arc}\:{of}\:{a}\:{circle}. \\ $$$${The}\:{rise}\:{of}\:{the}\:{segmental}\:{arc}\:{is}\:\mathrm{10}{cm}, \\ $$$${its}\:{span}\:{is}\:\mathrm{100}{cm}\:{and}\:{XZ}={ZY}=\mathrm{120}{cm}. \\ $$$${calculate}: \\ $$$$\left({i}\right)\:{the}\:{radius}\:{of}\:{the}\:{circle} \\ $$$$\left({ii}\right)\:{the}\:{area}\:{of}\:{the}\:{segmental}\:{cap}, \\ $$$${correct}\:{to}\:\mathrm{2}\:{significant}\:{figures}. \\ $$$$\left({iii}\right)\:{the}\:{total}\:{area}\:{of}\:{the}\:{design},\:{correct} \\ $$$${to}\:\mathrm{3}\:{significant}\:{figures}. \\ $$

Question Number 204560    Answers: 2   Comments: 1

Question Number 204541    Answers: 0   Comments: 4

In a regular pentagon PQRST , PR intersects QS at O. Calculate ROS?

$${In}\:{a}\:{regular}\:{pentagon}\:{PQRST}\:,\:{PR} \\ $$$${intersects}\:{QS}\:{at}\:{O}.\:{Calculate}\:{ROS}? \\ $$

Question Number 204521    Answers: 1   Comments: 1

Question Number 204505    Answers: 1   Comments: 0

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Question Number 204374    Answers: 0   Comments: 1

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