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5.3 Areas of Sectors and Segments

Question 14

A designer is creating a custom metal plate in the shape of a logo, $P QR S P$ . The logo consists of a major sector $P QR O$ of a circle with centre $O$ and radius $cm12\text{ cm}$ , joined to a triangle $P O S$ . The point $S$ lies on the radius $O R$ . The length of the straight edge $P S$ is $cm10\text{ cm}$ and the angle $P O S$ is $radians0.75\text{ radians}$ .

Find the area of the major sector $P QR O$ , giving your answer to one decimal place.

[2]

Given that the angle $P S O$ is obtuse,

find the size of angle $P S O$ in radians, giving your answer to 3 decimal places.

[3]

Determine the total perimeter of the shape $P QR S P$ , giving your answer to one decimal place.

[4]

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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Question 14

Find the area of the major sector $P QR O$ , giving your answer to one decimal place.

[2]

Given that the angle $P S O$ is obtuse,

find the size of angle $P S O$ in radians, giving your answer to 3 decimal places.

[3]

Determine the total perimeter of the shape $P QR S P$ , giving your answer to one decimal place.

[4]

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.