In a circle of diameter 42cm,if an arc subtends an angle of 60˚ at the centre where π = 22/7, then what will be the length of arc.
Answers
Answered by
2
Answer:
length of arc=2πr*60/360
=2*22*21/6*7
=22 cm
Answered by
6
Step-by-step explanation:
Given:-
In a circle of diameter 42cm,if an arc subtends an angle of 60˚ at the centre where π = 22/7.
To find:-
what will be the length of arc.
Solution:-
Diameter of a circle (d)=42 cm
=>Radius of the circle (r)=Diameter/2
=>r=42/2=21 cm
An angle subtends by the arc =(x)=60°
Length of the arc (l)=x°×2πr/360° units
=>60°×2×(22/7)×21/360°
=>(60°×2×22×21)/(7×360°)
=>2×22×3/6
=>22
Length=22 cm
Answer:-
Length of the arc for the given problem is 22 cm
Used formula:-
If the radius of the circle is" r "units and the angle subtended by the arc in the circle is x° then the length of the arc is (x°×2πr)/360
π=22/7
Similar questions