Question : Thrice the length of the diameter of a circle is 10 cm less than its circumference. What is the radius of the circle? [Use $\pi=\frac{22}{7}$]
Option 1: 28 cm
Option 2: 14 cm
Option 3: 70 cm
Option 4: 35 cm
Correct Answer: 35 cm
Solution :
Given:
3 × Diameter = Circumference – 10
Let the radius be $r$.
We know diameter = $2r$
So, $3×2r=2\pi r$
$⇒ 6r = 2× \frac{22}{7} × r - 10$
$⇒ \frac{44}{7}r - 6r = 10$
$⇒ \frac{2r}{7} = 10$
$⇒ r = 35\ \text{cm}$
Hence, the correct answer is 35 cm.
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