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 $π = \frac{22}{7}$ ]
Option 1: 28 cm
Option 2: 14 cm
Option 3: 70 cm
Option 4: 35 cm

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Question : 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 $π = \frac{22}{7}$ ]

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Answer 1

Correct Answer: 35 cm

Solution : Given:
3 × Diameter = Circumference – 10
Let the radius be $r$ .
We know diameter = $2 r$
So, $3 \times 2 r = 2 π r$
$\Rightarrow 6 r = 2 \times \frac{22}{7} \times r - 10$
$\Rightarrow \frac{44}{7} r - 6 r = 10$
$\Rightarrow \frac{2 r}{7} = 10$
$\Rightarrow r = 35 cm$
Hence, the correct answer is 35 cm.

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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 π=227]Option 1: 28 cmOption 2: 14 cmOption 3: 70 cmOption 4: 35 cm

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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 $π = \frac{22}{7}$ ]
Option 1: 28 cm
Option 2: 14 cm
Option 3: 70 cm
Option 4: 35 cm