Skip to content / Đến nội dung
ThichHocToan.com

Australian Intermediate Mathematics Olympiad 2015 Question 6

AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2015

Question 6

The large circle has radius $30/\sqrt\pi$. Two circles with diameter $30/\sqrt\pi$ lie inside the large circle. Two more circles lie inside the large circle so that the five circles touch each other as shown. Find the shaded area.



Question illustration



Numerical answer only; a non-negative integer less than 1000.