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PIMSO 2022 - Mathematics - Grade 9 / Secondary 3 - National Round Question 20

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 9 / Secondary 3 - National Round

Question 20

Given the figure below, if the distance between the center of the 2 identical bigger circles is 16 cm. while their radii are 6 cm each. If the radius of the smallest circle at the top is 3 cm, what is the shortest distance from the center of the topmost circle to line m? (Leave your answer in surd form.)

Question illustration

Input format: use sqrt(...) for square roots, pi for π, * for multiplication and / for division.