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5.3 Areas of Sectors and Segments

Question 8

An architect is designing a custom semicircular stained-glass window with center $C$ and a diameter $P C Q$ of length $m16\text{ m}$ . To reinforce the structure, a horizontal metal support beam $S T$ is placed parallel to the diameter $P C Q$ , such that the endpoints $S$ and $T$ lie on the semicircular arc. The design specifies that the angle $T C Q$ is $0.45$ radians. A specific segment of tinted glass, labeled $W$ , is bounded by the beam $S T$ and the minor arc $S T$ .

Show that, to 3 decimal places, the angle $S C T$ is $2.242$ radians.

[2]

Calculate the area of the tinted glass segment $W$ , giving your answer in $m2\text{m}^2$ to one decimal place.

[3]

Determine the total perimeter of the tinted glass segment $W$ , giving your answer in $m\text{m}$ to one decimal place.

[3]

Markscheme

5.3 Areas of Sectors and Segments Questions

A Level
Maths
5.3 Areas of Sectors and Segments

19 exam-style questions on Edexcel A Level Maths 5.3 Areas of Sectors and Segments. Each one has a worked solution and a mark scheme showing where the marks go.

5.3 Areas of Sectors and Segments

Question bank

5.3 Areas of Sectors and Segments

Medium Hard

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Question 8

Show that, to 3 decimal places, the angle $S C T$ is $2.242$ radians.

[2]

Calculate the area of the tinted glass segment $W$ , giving your answer in $m2\text{m}^2$ to one decimal place.

[3]

Determine the total perimeter of the tinted glass segment $W$ , giving your answer in $m\text{m}$ to one decimal place.

[3]

Markscheme

5.3 Areas of Sectors and Segments Questions

A Level
Maths
5.3 Areas of Sectors and Segments

19 exam-style questions on Edexcel A Level Maths 5.3 Areas of Sectors and Segments. Each one has a worked solution and a mark scheme showing where the marks go.