If the perimeter of a semicircular protractor is 66 cm. find the radius of the protractor.

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7.98 cm

10.89 cm

12.83 cm

11.25 cm

answer is C.

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Detailed Solution

Given that the perimeter of a semicircular protractor is 66 cm.
We have to find the radius of the protractor.
The perimeter of a semicircle of radius r is

π r + 2 r

.
So, the perimeter of a semicircle with radius r is,

π r + 2 r = 66 ⇒ r 227 + 2 = 66 ⇒ r × 367 = 66 ⇒ r = 66 × 7 36 ⇒ r = 11 × 7 6 ⇒ r = 12.83 c m

The radius of the protractor is 12.83cm.
Therefore, the correct option is 3.

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