Question

Q1. How Many Times A wheel of Radius 28 cm must rotate to go 352 m ?
$(Take \: π \: = \frac{22}{7} )$
Q2. The Minute Hand of a Circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. ​

Answer 1

$\huge{\mathcal{\underline\green{Question}}}$

1. How Many Times A wheel of Radius 28 cm must rotate to go 352 m ?

$(Take \: π \: = \frac{22}{7} )$

2. The Minute Hand of a Circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

1. How Many Times A wheel of Radius 28 cm must rotate to go 352 m ?

$(Take \: π \: = \frac{22}{7} )$

$\huge\boxed{\blue{Given :}}$

➣ Radius of wheel = 28 cm

➣ Total Distance covered by wheel = 352 m

Convert 352 m in cm = 352 × 100 cm = 35200 cm

$\huge\boxed{\red{To \: Find :}}$

➣ Number of rounds completed by wheel to go 352 m

$\huge\boxed{\pink {Solution :}}$

➪ Distance travelled by wheel in 1 rotation = 2πr

⇒ Distance travelled by wheel in 1 rotation =2 ×$\frac{22} {7} × 28$

⇒Distance travelled by wheel in 1 rotation = 176 cm

➦ So, the distance travelled by wheel in 1 rotation is 176 cm.

➪ Number of Rounds = $\frac{Total distance to be covered} {Distance covered in 1 round}$

⇒Number of Rounds = $\frac{35200} {176}$

⇒Number of Rounds = 200

➦ So, the wheel must rotate 200 times to go 352 m

$\:$

2. The Minute Hand of a Circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour.

$\huge\boxed{\blue{Given :}}$

➣ Radius of the Circular clock = 15 cm

$\huge\boxed{\red{To \: Find :}}$

➣ The distance travelled by minute hand in 1 hour

$\huge\boxed{\pink {Solution :}}$

➪ Distance Travelled by Minute Hand in 1 hour = 2πr

⇒Distance Travelled by Minute Hand in 1 hour = 2 × 3.14 × 15

⇒Distance Travelled by Minute Hand in 1 hour = 94.2 cm

➦ So, the tip of the minute hand will move 94.2 cm in 1 hour

Answer 2

Answer:

1. the wheel must rotate 200 times to go 352 m

2. the tip of the minute hand will move 94.2 cm in 1 hour