In a circle of diameter 42cm,if an arc subtends an angle of 60˚ at the centre
where ∏=22/7, then what will be the length of arc.
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Given:-
dimeter = 42cm
angle (θ) = 60 degree
π = 22/7
To find :-
length of an arc:- ?
Solution:-
As we know that
⇒
(where θ should be in radian.)
so, by putting all given value in thise above example:
We get,
⇒
⇒
⇒
⇒
therefore :-
length of an arc is 22 cm...
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ravindrabansod26:
hii
dimeter = 42cm
angle (θ) = 60 degree
π = 22/7
length of an arc:- ?
As we know that
⇒ l = r * \thetal=r∗θ
(where θ should be in radian.)
so, by putting all given value in thise above example:
⇒ l = 21 * 60 * \frac{\pi}{180}l=21∗60∗180π
⇒ l = 21 * \frac{\pi}{3}l=21∗3π
⇒ l = \frac{21}{3} * \frac{22}{7} ----( as it is given tha \pi = \frac{22}{7} )l=321∗722−−−−(asitisgiventhaπ=722)
⇒ l = 22\: cml=22cm
therefore :-
length of an arc is 22 cm...
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