Four identical semi-circles are drawn inside the semi-circle with diameter AB in the figure, such that AB = 8cm. What is the perimeter of the figure bounded by five semi-circles? (#pi#=#3#) A. 30 B. 24 C. 15 D. 12

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1 Answer
Jim G.
Jun 19, 2018

#24toB#

Explanation:

#"the circumference of a circle (C) is"#

#•color(white)(x)C=pidrArr1/2C=1/2pid#

#"Perimeter "="P of semi-circle"+"P of 4 identical"#

#"using "pi=3#

#d" of semi-circle "=8#

#"d of 4 identical semi-circles "=8/4=2#

#"perimeter "=1/2xx3xx8+4xx1/2xx3xx2#

#color(white)("perimeter ")=12+12=24" cm"#

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