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A right angled sector of radius \( r \) cm is rolled up into a cone in such way that the two binding radii are joined together. Then the curved surfice area of the cone is - (a) \( \pi _ { 1 } ^ { 2 } \mathrm { cm } ^ { 2 } \quad \) (b) \( 4 \pi r ^ { 2 } \mathrm { cm } ^ { 2 } \quad \) (c) \( \frac { \pi r ^ { 2 } } { 4 } \mathrm { cm } ^ { 2 } \quad \) (d) \( 2 \pi \mathrm { r } ^ { 2 } \)

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