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Find the radius of a semicircular protractor if its perimeter is $36 cm$ .

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5

7

8

6

answer is A.

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Detailed Solution

Given that, perimeter of the circle is 36 cm.
We know that, the perimeter of a semicircle is

P = π r + 2 r

.
Substitute 36 for P into the equation.

36 = p r + 2 r

Take out r from right side of the equation.

\Rightarrow

36 = r p + 2

Solve the equation for r.

\Rightarrow

36 = r 227 + 2

\Rightarrow

36 = 3607

r = 7
The radius related to the semicircular protractor is 7 cm.
Hence the correct option is 1.

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