Question

the perimeter of a semicircular protractor is 32.4 CM calculate the radius of the protector in cm.

Answer 1

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Answer 2

Answer:

radius = 6.3 cm

Step-by-step explanation:

$\text{Perimeter of semi-circle is given by : }\frac{1}{2}\times \text{Circumference of circle}+ 2\times radius\\\\P=\frac{1}{2}\times 2\cdot \pi\cdot r + 2\cdot r\\\\\implies 32.4 = \pi\cdot r + 2\cdot r\\\\\implies 32.4=r\cdot (\pi +2)\\\\\implies r=\frac{32.4}{\pi +2}\\\\\implies r = \frac{32.4}{3.14+2}\\\\\implies r = \frac{32.4}{5.14}\\\\\implies r = 6.3\thinspace cm$

Hence, the radius of semicircular protractor is 6.3 cm