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SEAMO 2027 - Paper C - SET 11 - Self-study Question 7

SEAMO · SEAMO 2027 - Paper C - SET 11 - Self-study

Question 7

A pentagon has side length 10 cm. Five identical circles are drawn with the five vertices as centres, as shown. Find the shaded area in $\text{cm}^2$. Use $\pi=3.14$.

Diagram convention: adjacent circles are externally tangent along the pentagon’s sides, and the shaded parts are the non-overlapping sectors inside the pentagon. These conditions are depicted but not stated explicitly in the source.

Question illustration
  1. 98.80
  2. 106.80
  3. 117.75
  4. 138.50
  5. 154.40