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AMO · 2027 · Grades 4-5 · Self-study SET 33 Question 12

AMO

Question 12

One straight line through the region inside a circle can cut it into two parts, as shown. If the circle is cut into 232 parts, what is the least number of straight lines that must be drawn through the region?

Question illustration

Lines are straight and may be placed freely; count regions inside the circle. Enter one whole number.