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UKMT Intermediate Mathematical Challenge, 2017

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows two circles with the same centre. The radius of the outer circle is twice the radius of the inner circle. The region between the inner circle and the outer circle is divided into six equal segments as shown. What fraction of the area of the outer circle is shaded?

(A) $\dfrac{3}{7}$ (B) $\dfrac{3}{8}$ (C) $\dfrac{3}{9}$ (D) $\dfrac{3}{10}$ (E) $\dfrac{3}{11}$

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