Question
Download Solution PDFThe 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 \(\pi=\frac{22}{7}\)]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius + Diameter = 84 cm
Formula used:
Diameter = 2 x Radius
Circumference = 2πr
Calculations:
Let the radius be R then, Diameter be 2R.
Now, according to question,
R + 2R = 84
⇒ 3R = 84
⇒ R = 28
So, The circumference = 2πr = 2 × \(\frac{22}{7}\) × 28 = 176 cm
Now, difference between Circumference and radius is
= 176 - 28
= 148 cm
Hence, the required difference is 148 cm.
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