Answer:

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Step-by-step explanation:

1 Answer

Let r be the radius of the protractor, then.

Perimeter = πr + 2r.

According to the question,

36 = πr + 2r.

⇒ 36 = r(22/7 + 2)

⇒ r = 7 cm.

∴ The diameter of the protractor is (2 × 7) cm = 14 cm.

Step-by-step explanation:

Perimeter of semicircular protractor=36 cm

πr+2r=36

⇒(π+2)r=36

⇒(

7

22

+2)r=36

⇒

7

36

r=36

⇒r=

36

36×7

⇒r=7

Therefore, diameter =2r=2×7=14 cm