Mathematics, 11.02.2022 01:00 evanwall91
The figure shows a circle with radius r сm. Another circle is drawn inside the circle such that its diameter is the radius of the original circle. The process is repeated infinitely.
(a) Show that the sum of the circumferences of the first 10 circles is greater than 3.996πr cm.
(b) If the radius of the first circle is 8 cm, what is the sum of the circumferences of all circles?
(Express the answer in terms of π.)
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