Question

find the length of Arc of quadrant of diameter 7 cm​

Answer 1

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