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Answer

(a) radius of biggest circle = 6 cm

radius of medium circle = (12 – 2 ) /2 = 5 cm

radius of smallest circle = ( 12 – 4 ) / 2 = 4 cm

Area of shaded portion = Area of biggest circle – Area of medium circle + Area of smallest circle

= π( 6² – 5² + 4²)

= 27π cm²

(b) Perimeter of the unshaded portion = Perimeter of the medium circle + Perimeter of the smallest circle

= π ( 2 * 5 + 2 * 4)

= 18π cm

 

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I do enjoy this kind of questions.  Makes me think.  Great solution @waterflow!

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