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Exam-Style Question on MensurationA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 726. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.
Walter Wall is planning to renovate a remote building by installing new flooring. A diagram showing the area required to be covered by the flooring can be seen below.
ABCDEFG is a regular heptagon with sides of length 5m.
O is the centre of the heptagon and M is the midpoint of AB.
(a) Find angle AOM
(b) Calculate the area of the heptagon in square metres.
Walter may be able to save money by purchasing some second-hand flooring material in the shape of a circle.
(c) Find the area of the circle that passes through the vertices of the heptagon.
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