The ferry has a logo painted on its side. The logo is a regular pentagon with centre `O` and side length 30 cm.
It is shown in the diagram below.
- Show that angle `POQ` is equal to 72°. (1 mark)
- Show that, correct to two decimal places, the length `OP` is 25.52 cm. (1 mark)
- Find the area of the pentagon. Write your answer correct to the nearest cm². (2 marks)