## Exam-Style Question on Mensuration Similarity## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 195. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

(a) Find the area of a regular octagon if the distance from its centre to any vertex is 10cm.

(b) If the octagon had been cut from a piece of square card that was only just large enough, work out the area of the original square piece of card.

(c) A table top is made in the shape of a regular octagon with sides five times as long as the card model. Find the ratio of the area of the table top to the area of the card model.

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