Question : The area of the sector of a circle is 128 cm². If the length of the arc of that sector is 64 cm, then find the radius of the circle.

Option 1: 4 cm

Option 2: 8 cm

Option 3: 2 cm

Option 4: 16 cm

Question : A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use $\pi=\frac{22}{7}$)

Option 1: 32 cm

Option 2: 35 cm

Option 3: 28 cm

Option 4: 36 cm

Question : The perimeter of a sector of a circle is 24 cm and the radius is 3 cm. Calculate the area (in cm² ) of the sector.

Option 1: 24

Option 2: 33

Option 3: 27

Option 4: 30

Question : A right-angled isosceles triangle is inscribed in a semi-circle of radius 7 cm. The area enclosed by the semi-circle but exterior to the triangle is:

Option 1: 14 cm²

Option 2: 28 cm²

Option 3: 44 cm²

Option 4: 68 cm²

Question : A sector is formed by opening out a cone with a base radius of 8 cm and height of 6 cm. Then the radius of the sector is (in cm):

Option 1: 4

Option 2: 8

Option 3: 10

Option 4: 6