In a circle of diameter 84cm, If an subtends an angel of 60°at the center where π=22/7, then what will be the length of arc
Answers
Given : In a circle of diameter 84cm an arc subtends angel of 60° at the center
To Find : what will be the length of arc
Solution:
Diameter of circle = 84 cm
Diameter = 2 x Radius
=> 84 = 2 x Radius
=> radius = 42 cm
r = 42
Length of arc = ( Subtended angle / 360 ) * 2 π r
= (60°/360°) * 2 π * 42
= (1/6) * 2 π * 42
= 2π * 7
π = (22/7)
= 2(22/7) * 7
= 2 * 22
= 44 cm
length of arc = 44 cm
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Answer:
Length of arc is 44 cm.
Step-by-step explanation:
Given:
Diameter of circle = 84 cm
Angle at centre (θ) = 60°
π = 22/7
To find:
Length of arc
Solution:
Radius is half of diameter.
Radius = ½ * Diameter
=> Radius = ½ * 84
=> Radius = 42 cm
Now,
Length of arc = (θ / 360) * 2πr
=> l (arc) = (60 / 360) * 2 * 22/7 * 42
=> l (arc) = 1/6 * 44/7 * 42
=> l (arc) = 1/6 * 44 * 6
=> l (arc) = 1 * 44
=> l (arc) = 44 cm
So,
Length of arc is 44 cm.