Radians

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Question 41

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]

Radians Questions

A Level
Maths
Radians

A Level
Maths WJEC
Question bank