If the perimeter of a semicircular protractor is 36 cm, find the diameter.
(a) 14 cm (b) 16 cm (c) 18 cm (d) 12 cm
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Diameter = 14 cm
Option (b) is the correct option
Step-by-step explanation:
GIVEN
Perimeter = 36 cm
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TO FIND
Diameter
___________________________
We know that,
Perimeter of Semicircle = ( π × r ) + ( 2 × r )
36 = ( π × 2 ) × r
36 = ( 22/7 × r ) × 2 × r
36 = ( 36 / 7 ) × r
Changing the place of r
We get
r = ( 36 × 7 ) / 36
r = 7
Both 36 will get cancelled
So
Only 7 will left
Therefore
r = 7
Radius = 7 cm
Now let's find the diameter of a semicircle
We know that,
Diameter = 2 × Radius
Diameter = 2 × 7
Diameter = 14
Diameter = 14 cm
Option (b) is the correct option
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