Find the area between the two concentric circles.

Geometry Level pending

The length of tangent line A B C ABC is 26 26 . Find the area between the two concentric circles.

169 π 169\pi 676 π 676\pi 13 π 13\pi 52 π 52\pi

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1 solution

By pythagorean theorem, R 2 − r 2 = 1 3 2 = 169 R^2-r^2=13^2=169

The area of the shaded region is π ( R 2 − r 2 ) \pi (R^2-r^2) . Substituting, we have

π × 169 = 169 π \pi \times 169 = \boxed{169 \pi}

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