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.

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.

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

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

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.

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

1 Pure Mathematics

Question 443

Markscheme

1 Pure Mathematics

Question 443

Markscheme

1 Pure Mathematics

Question 443

1 Pure Mathematics Questions

1 Pure Mathematics

Question 443

1 Pure Mathematics Questions