Question : The area (in m²) of a circular path of uniform width $x$ metres surrounding a circular region of diameter d metres is _____.

Option 1: $\pi x(x+2 \mathrm{~d})$

Option 2: $\pi x(x+\mathrm{d})$

Option 3: $\pi x(2 x+\mathrm{d})$

Option 4: $\pi x\left(x+\frac{\mathrm{d}}{2}\right)$

Question : The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )

Option 1: 1078 cm²

Option 2: 616 cm²

Option 3: 536 cm²

Option 4: 346.5 cm²

Question : What is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm?$(\pi=\frac{22}{7})$

Option 1: 560 cm²

Option 2: 660 cm²

Option 3: 850 cm²

Option 4: 760 cm²

Question : 60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form a right circular cylinder. What is its volume in m³ if $\pi=\frac{22}{7}$?

Option 1: 7.62 × 10^–2

Option 2: 8.05 × 10^–3

Option 3: 6.93 × 10^–3

Option 4: 4.25 × 10^–2

Question : A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m²) of the path?

Option 1: 1020$\pi$

Option 2: 1075$\pi$

Option 3: 1050$\pi$

Option 4: 1100$\pi$