Question

A circular clock has a radius of 14 cm. Calculate the distance covered by the tip of the minute hand in 30 minutes, assuming it is positioned at the edge of the clock face? (Use ∏= 22/7)

• A. 44 cm
• B. 48 cm
• C. 46 cm
• D. 42 cm

Answer 1

Answer:

A. 44 cm

The tip of the minute hand moves along the circumference of the clock.

• Radius (r = 14) cm

• In 30 minutes, the minute hand completes half a revolution.

$\text{Circumference}=2\pi r$
$=2\times\frac{22}{7}\times14$
$=88\text{ cm}$

Distance covered in 30 minutes

Since 30 minutes is half a revolution,

$\text{Distance}=\frac{1}{2}\times88=44\text{ cm}$

Answer

$\boxed{44\text{ cm}}$