Radiation Symbol

Geometry Level 2

The symbol is made from three concentric circles and three equally spaced diameters of the large circle. The diameter of the large circle is 12 12 , the diameter of small circle is 4 4 and the diameter of smallest circle is 2 2 . What is the area of the symbol (shaded region) ?

19 π 19 \pi 17 π 17 \pi 14 π 14 \pi 16 π 16 \pi

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Rahul Paswan by Rahul Paswan , 26, India

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Rahul Paswan
Jan 27, 2015

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Area of shaded region = area of smallest circle + 1/2 * (area of annular ring between largest circle and middle circle)

A = π 1 2 + π 2 ( 6 2 − 2 2 ) = 17 π A = \pi1^2 + \frac{\pi}{2}\left(6^2 -2^2\right) = \boxed{17\pi}

22 Helpful 0 Interesting 0 Brilliant 0 Confused

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