Question : The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm, what is the length of the side of the equilateral triangle?

Option 1: $\frac{22}{3}$ cm

Option 2: $\frac{44}{3}$ cm

Option 3: $44$ cm

Option 4: $22$ cm

Question : The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the circle's radius? (Take $\pi=\frac{22}{7}$)

Option 1: 35 cm

Option 2: 20 cm

Option 3: 25 cm

Option 4: 15 cm

Question : The slant height and radius of a right circular cone are in the ratio 29 : 20. If its volume is $4838.4 \pi ~\mathrm{cm}^3$, then its radius is:

Option 1: 28 cm

Option 2: 20 cm

Option 3: 25 cm

Option 4: 24 cm

Question : In a circle, a 14 cm long chord is 24 cm from the centre of the circle. Find the length of the radius of the circle.

Option 1: 30 cm

Option 2: 25 cm

Option 3: 50 cm

Option 4: 27 cm

Question : The circumference of a triangle is 24 cm and the circumference of its in-circle is 44 cm. Then the area of the triangle is (taking $\pi =\frac{22}{7}$):

Option 1: 56 sq. cm

Option 2: 84 sq. cm

Option 3: 48 sq. cm

Option 4: 68 sq. cm