The length of an arc of a radius 3cm circle the angle subtended at the centre is 30 degree is
Answers
Step-by-step explanation:
radius 3cm
Central angle Q = 30°
length of arc = Q/360° × 2πr
= 30/360 × 2×22/7×3
1/12 × 132/7
132/84cm
. 33/21 cm
Given : the angle subtended by arc at the centre is 30 degree
Radius of circle is 3 cm
To Find : The length of an arc
Solution:
length of an arc = ( arc angle / 360° ) circle circumference
circle circumference = 2πr
r = radius = 3 cm
arc angle = 30°
length of arc = ( 30°/ 360° ) 2π (3)
=> length of an arc = ( 1/12) 6π
=> length of an arc = π/2
Using π = 3.14
=> length of arc = 3.14/2 = 1.57 cm
The length of arc = 1.57 cm
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