Question

The minute hand of a clock is 12 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.​

Answer 1

✬ Area = 264 cm² ✬

Step-by-step explanation:

Given:

• Length of minute hand of clock is 12 cm.
• Time for which minute hand swept is 35 minutes.

To Find:

• How much area is swept by hand of clock in that time ?

Solution: As we know that angle swept by minute hand in 1 minutes is equal to 6°.

∴ Angle swept in 35 minutes

= 6 × 35

= 210°

So now we have

• θ = 210°
• r = 12 cm

A/q

• Area swept by minute hand = Area of sector

★ Area of sector = θ/360 × πr² ★

• taking π = 22/7

$\implies{\rm }$ Area = 210/360 × 22/7 × 12²

$\implies{\rm }$ 7/12 × 22/7 × 144

$\implies{\rm }$ 154/84 × 144

$\implies{\rm }$ 22176/84

$\implies{\rm }$ 264 cm²

Hence area swept by minute hand that period of time is 264 cm².