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
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Correct Answer: 56 cm
Solution : The area of a circle, where r is the radius of the circle. Area = $\pi r^2$ $⇒r = \sqrt{\frac{\text{Area}}{\pi}}$ $⇒r = \sqrt{\frac{2464}{\frac{22}{7}}} = 28 \text{ cm}$ The diameter of the circle is twice the radius. $\text{Diameter} = 2r = 2 \times 28 = 56 \text{ cm}$ Hence, the correct answer is 56 cm.
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Question : The radius of a sphere is 14 cm. What is the surface area of this sphere? [Use $\pi=\frac{22}{7}$]
Option 1: 2464 cm2
Option 2: 1232 cm2
Option 3: 1848 cm2
Option 4: 616 cm2
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 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
Question : The diameter of a circle is $\frac{7}{4}$ times the base of a triangle, and the height of the triangle is 14 cm. If the area of the triangle is 56 cm2, then what is the circumference (in m) of the circle? (Use $\pi=\frac{22}{7}$)
Option 1: 0.44 m
Option 2: 2.46 m
Option 3: 0.48 m
Option 4: 1.74 m
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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