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
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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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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 $\pi=\frac{22}{7}$]
Option 1: 156 cm
Option 2: 172 cm
Option 3: 148 cm
Option 4: 128 cm
Question : The diameter of a circle is 42 cm. What is the difference between the lengths of the circumference and the radius of the circle? [Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 98 cm
Option 2: 94 cm
Option 3: 111 cm
Option 4: 105 cm
Question : The area of a circle is 1386 cm2. What is the radius of the circle? [Use $\pi=\frac{22}{7}$ ]
Option 1: 21 cm
Option 2: 7 cm
Option 3: 14 cm
Option 4: 18 cm
Question : The area of a circle is 2464 cm2. What is the diameter of this circle? [Use $\pi=\frac{22}{7}$]
Option 1: 56 cm
Option 2: 24 cm
Option 3: 48 cm
Option 4: 28 cm
Question : The surface area of a sphere is 2464 cm². Find the radius of the sphere. [Use $\pi=\frac{22}{7}$ ]
Option 1: 14 cm
Option 2: 28 cm
Option 3: 42 cm
Option 4: 40 cm
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