Question : The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertex, circles of radius 4.2 cm are drawn. What is the area (in cm²) of the portion covered by the three sectors of the circle? $\left(\pi=\frac{22}{7}\right)$

Option 1: 92.28

Option 2: 120

Option 3: 105.86

Option 4: 27.72

Question : A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles?

Option 1: $10 \pi$

Option 2: $25 \pi$

Option 3: $5 \pi$

Option 4: $\frac{5 \pi}{2}$

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 : The difference between the semi-perimeter and the sides of ΔPQR are 18 cm, 17 cm, and 25 cm, respectively. Find the area of the triangle.

Option 1: $330\sqrt{510}$ cm²

Option 2: $230\sqrt{510}$ cm²

Option 3: $30\sqrt{510}$ cm²

Option 4: $130\sqrt{510}$ cm²

Question : The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is:

Option 1: 180 cm²

Option 2: 234 cm²

Option 3: 288 cm²

Option 4: 270 cm²