If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.Choose the correct alternative answer for the following question.
(A) 66 cm
(B) 44 cm
(C) 160 cm
(D) 99 cm
Answers
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92
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We will solve this using the length of arc formula
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Answered by
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Solution :
Given :
length of the arc ( l ) = 44cm
Measure of the angle (x) = 160°
Let the Circumference of the
circle = C
l = ( x/360° ) × C
=> C = ( l × 360° )/x
=> C = ( 44 × 360 )/160
=> C = 99
Option ( D ) is correct.
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