If the perimeter of a semicircular protractor is 36 cm. find its diameter (use π=22/7)
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Step-by-step explanation:
Given: Perimeter of semi-circular protractor = 36 cm
Now, perimeter of a semi-circle = πr + 2r , where r is the radius of the semi- circle.
∴ πr + 2r = 36
⇒ r(π + 2) = 36
⇒ r = 36/(π + 2)
=
=
= (36 × 7)/36
= 7
∴ Radius of the semi-circular protractor = 7 cm
Thus, diameter of the semi-circular protractor = 2r = 2 × 7 = 14 cm
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