If the perimeter of a semi-circular protractor is 36 cm, find the diameter of the protractor.

Given: Perimeter of a semi-circular protractor = 36 cm

 

Perimeter of a semi-circular protractor =Diameter + Semi-arc 

⇒36 = 2r + πr

⇒36 = r(2+ π )

Hence,Radius = 7 cm.


Diameter = 2r = 2x7 = 14 cm

  • 54

22.8 approx.

  • -16

We know, a protractor is in the shape of a semi-circle.
So, Perimeter of protractor = diameter + semi-arc
36 = 2r + πr
36 = r(2+
π)
36 = r(2+22/7)
36 = r(36/7)
r = 36 x 7/36 
r = 7 cm
Diameter = 2r = 2x7 = 14 cm

Hope, it helps.
Thumbs up. :)

  • 28

d=7

  • -13

Perimeter of protractor = diameter + semi-arc
36 = 2r + πr
36 = r(2+
 π )
36 = r(2+22/7)
36 = r(36/7)
r = 36*7/36
r = 7 cm
Diameter = 2r = 2x7 = 14 cm 

  • 10
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