Question

The minute hand of a clock is 7.5cm long .Find the area of the face of the clock described by the minute hand in 56 minutes​

Answer 1

The area of face is 22 sq. cm.

Step-by-step explanation:

Since we have given that

Radius of a minute hand = 7.5 cm

Number of minutes = 56 minutes

As we know that

1 minute = 6 degrees

56 minutes = $56\times 6=336^\circ$

So, the area of the face of the clock described by the hand in 56 minutes would be

$\dfrac{336}{360}\times \pi r\\\\=\dfrac{336}{360}\times \dfrac{22}{7}\times 7.5\\\\=\dfrac{336\times 22\times 7.5}{360\times 7}\\\\=\dfrac{55440}{2520}\\\\=22$

Hence, the area of face is 22 sq. cm.

# learn more:

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

https://brainly.in/question/257664