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K. 195. The isosceles triangle ABC has a right angle at A; the length of its legs is AB=AC=4 cm. The circles with centers at B and C of radius 4 cm intersect the hypotenuse at D and E, respectively. What is the area of the shaded domain? (See the Figure.)

(6 points)

This problem is for grade 9 students only.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. A satírozott területet jelölje T. Ezen kívül keletkezik még két egybevágó alakzat, ezek területe felírható: .

Így a terület:

Statistics on problem K. 195.
 170 students sent a solution. 6 points: 55 students. 5 points: 50 students. 4 points: 30 students. 3 points: 12 students. 2 points: 7 students. 1 point: 1 student. 0 point: 8 students. Unfair, not evaluated: 7 solutions.

• Problems in Mathematics of KöMaL, January 2009

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