Question 62

The sum of the lengths of the radius and the diameter of a circle is 84 cm. What is the difference between the lengths of the circumference and the radius of this circle? [Use $$\pi = \frac{22}{7}$$]

Solution

The sum of the lengths of the radius and the diameter of a circle is 84 cm.

radius + diameter = 84 cm

Let's assume the radius is 'r'.

r+2r = 84 cm

3r = 84 cm

r = 28 cm

Difference between the lengths of the circumference and the radius of this circle = $$2\times\pi\times r-r$$

= $$2\times\frac{22}{7}\times28-28$$

= $$2\times22\times4-28$$

= 176-28

= 148 cm

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