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.

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

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

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

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

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

3 Unit A2 1: Pure Mathematics (A-level only)

Question 679

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 679

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 679

3 Unit A2 1: Pure Mathematics (A-level only) Questions

3 Unit A2 1: Pure Mathematics (A-level only)

Question 679

3 Unit A2 1: Pure Mathematics (A-level only) Questions