find the length of Arc of quadrant of diameter 7 cm
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Step-by-step explanation:
Given:-
The diameter of an arc of a quadrant = 7 cm
To find:-
Diameter of the circle = 7 cm
Radius of the circle = Diameter/2 = 7/2 cm
r = 7/2 cm
Quadrant means 1/4th of the circle
=The angle subtended by the arc at the centre = 90°
We know that
Length of the arc (l) = (x°/360°)×2πr units
=>(90°/360°)×2×(22/7)×(7/2) cm
=>(1/4)×2×(22/7)×(7/2) cm
=>(1×2×22×7)/(4×7×2) cm
=>22/4 cm
=>11/2 cm
=>5.5 cm
Length of the arc = 5.5 cm
Answer:-
The length of Arc of quadrant of diameter 7 cm is
5.5 cm
Used formula:-
- Length of the arc (l) = (x°/360°)×2πr units
Where , r is the radius of the circle and π=22/7
x° =angle subtended by the arc at the centre
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