King Henry
05/23/2023 · Middle School

c) Find \( A \), when \( l=11 \mathrm{~cm} \) and \( r=5.2 \mathrm{~cm} \). 12. A long time ago Dulani found an island shaped like a triangle with three straight shores of length \( 3 \mathrm{~km}, 4 \mathrm{~km} \) and 5 km . He said nobody could come within 1 km of his shore. What was the area of his exclusion zone?

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To find the radius \( A \) of the circumcircle, use Heron's formula to calculate the area \( A_t \) of the triangle with sides \( l = 11 \mathrm{~cm} \) and \( r = 5.2 \mathrm{~cm} \), then use the formula \( A = \frac{A_t}{s} \) where \( s \) is the semi-perimeter of the triangle.

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