What is the perimeter of a semicircle where daimeter of circle is 12 cm
Answers
Perimeter of a circle ( Circumference )= 2 * π * radius = 2πr
So, perimeter of semi circle ( half the circle) = Half the perimeter = 2πr/2 = πr
Diameter = 2* radius
So, 12cm = 2 * radius
Therefore, radius = 12/2 = 6 cm
π has a value of 22/7 OR 3.14; Taking it to be 3.14 here
πr ( π * radius ) = 3.14 * 6 = 18.84 cm
Answer : Perimeter of the semi circle/ Circumference of the semi circle is of 18.84 cm
(Note : As the value of π is not definite, and thus, not exactly 3.14, but approximated to this value. Therefore, the answer of Circumference obtained here, is not an exact answer, and thus, may differ by some minute value if calculated using 22/7 . However, overall this answer is correct. )
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Diameter of a circle = 12cm
.'.Radius = 12/2
.'. Radius =6cm
Perimeter of a semicircle=2r+πr
=r(2+π)
=6(2+22/7)
=6{(14+22)/7}
=6*36/7
=216/7
=30.8571429
=30.85 cm (approx)
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