Question : If the numerical value of the circumference and area of a circle is the same, then the area is:

Option 1: $6\pi$ sq. units

Option 2: $4\pi$ sq. units

Option 3: $8\pi$ sq. units

Option 4: $12\pi$ sq. units

Question : The radius of the base and curved surface area of a right cylinder are $r$ units and $4\pi rh$ square units respectively. The height of the cylinder is:

Option 1: $\frac{h}{2}$ units

Option 2: $h$ units

Option 3: $2h$ units

Option 4:  $4h$ units

Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.

Option 1: $4$ units

Option 2: $\frac{11}{4}$ units

Option 3: $\frac{22}{3}$ units

Option 4: $21$ units

Question : The ratio of the circumference and diameter of a circle is $22: 7$. If the circumference is $1\frac{4}{7}$ m, then the radius of the circle is:

Option 1: $\frac{1}{3}$ m

Option 2: $\frac{1}{2}$ m

Option 3: $\frac{1}{4}$ m

Option 4: $1$ m

Question : The value of $x$ in the expression $\tan^{2}\frac{\pi }{4}-\cos^{2}\frac{\pi }{3}=x\sin\frac{\pi }{4}\cos\frac{\pi }{4}\tan\frac{\pi }{3}$ is:

Option 1: $\frac{2}{\sqrt{3}}$

Option 2: $\frac{3\sqrt{3}}{4}$

Option 3: $\frac{1}{\sqrt{3}}$

Option 4: $\frac{\sqrt{3}}{2}$