Areas of circles and composite shapes

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Description

Inside Maths builds on the success of the series Maths 4 Real.Fran's friend wants to know how much it will cost to re-tile her bathroom. Dave is promised a home-made cookie if he is able to cost it. Dave wants the larger of two cookies, but to work out which one is the bigger he needs to work out their surface areas. As Dave heads off to check out the bathroom, Fran goes through the formulae for different shapes. Dave arrives at the house. His first task is to work out the area of the walls to be covered by tiles, a job that is complicated by a mirror and windows. In the studio, Fran goes in detail through how to work out the area of the walls, then changes the figure when her friend decides she wants a circular and then arched mirror. With the area of the wall calculated, Dave works out the cost and is rewarded with the circular cookie, which he worked out was the larger. When the cookie arrives it is considerably smaller than he expected ... Did he get the formula for the area?