in a circle of radius 6 cm and central angle 60° find the length of arc
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Answer:
Given : The radius of circle is 7cm
The angle is 60
∘
The length of arc =
360
θ
×2πr
length of arc =
360
60
×2×
7
22
×7
length of arc =
6
44
cm
length of arc =7.33 cm
Step-by-step explanation:
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Step-by-step explanation:
Given:-
In a circle of radius 6 cm and central angle 60°
To find:-
Find the length of arc ?
Solution:-
Given that
Radius of the circle = 6 cm
Angle subtended by the arc at the centre = 60°
We have
r = 6cm
X°=60°
We know that
Length of the arc = (X°/360°)×2πr units
On Substituting these values in the above formula
=> l = (60°/360°)×2×(22/7)×6 cm
=> l = (1/6)×2×22×6/7 cm
=> l = 2×22/7 cm
=> l= 44/7 cm
=> l = 6.2857...cm
Length of the arc = 6.29 cm (approximately)
Answer:-
Length of the arc in the given circle is 2π cm or 6.29 cm
Used formula:-
- Length of the arc = (X°/360°)×2πr units
- X°=Angle subtended by the arc at the centre
- r= radius
- π=22/7
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