Question : Find the area of the circle whose circumference is 22 cm.
Option 1: 38.5 cm2
Option 2: 42 cm2
Option 3: 30 cm2
Option 4: 77 cm2
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Correct Answer: 38.5 cm 2
Solution : Let the radius of the circle be $r$. Circumference of a circle = 22 cm ⇒ $2\pi r = 22$ ⇒ $2 \times \frac{22}{7} \times r = 22$ ⇒ $2r = 7$ ⇒ $r = \frac{7}{2}\ \text{cm}$ Area of the circle $=\pi r^2=\frac{22}{7}\times\frac{7}{2}\times \frac{7}{2}=38.5\ \text{cm}^2$ Hence, the correct answer is 38.5 cm 2 .
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Question : The circumference of a circle is 132 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$)
Question : Find the area of a right-angled triangle whose base is 12 cm and the hypotenuse is 13 cm.
Question : Find the volume of a solid sphere whose diameter is 42 cm. (Use $\pi=\frac{22}{7}$)
Question : A copper wire is bent in the form of a square and it encloses an area of 30.25 cm2. If the same wire is bent to form a circle, then find the area of the circle. [Use $\pi=\frac{22}{7}$]
Question : The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use $\pi=\frac{22}{7}$ ).
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