Math, asked by Anonymous, 1 month ago

\Large\sf{\fbox\red{Question}}

The minute hand of a circular clock is 15cm long. How far does the tip of the minute hand move in 1 hour . (Take π as = 3.14)

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Answers

Answered by Anonymous
112

Given -

  • Length of minute hand = 15cm

To find -

  • Distance tip of minute hand will cover in one hour.

Formula used -

  • Circumference of circle = 2πr

Solution -

In the question, we are given with the length of minute hand, of a circular click and we need to find the distance the tip of minute hand will cover in one hour. In this question, the length of minute hand will be the radius of the whole clock, and will solve this question by using the formula of circumference of circle. Let's do it!

So -

Length of minute hand = Radius of clock

Circumference of circle = 2πr

Where -

π = 3.14 (as per the required question)

r = Radius = 15 cm

On substituting the values -

Circumference = 2πr

 \tt \longrightarrow \: distance \:  = 2 \:  \times  \: 3.14 \:  \times 15 \: cm

 \sf \longrightarrow \:distance  = 2 \:  \times 47.1

 \sf \longrightarrow \: distance \:   = 94.2 \: cm

\therefore The tip of minute hand will move 94.2 cm in one hour.

______________________________________

Answered by Anonymous
87

{\large{\bold{\rm{\underline{\underbrace{Understanding \; the \; question}}}}}}

~ This question says that there is a minute hand of a circular clock is 15 cm in length. We have to find that how far does the tip of the minute hand move in 1 hour. This question give a hint that the formula is used here it contains π and we have to take the value of π as 3.14

~ And according to the question length of minute hand means radius of minute hand.

{\large{\bold{\rm{\underline{Given \; that}}}}}

★ Length of minute hand = 15 cm

{\large{\bold{\rm{\underline{To \; find}}}}}

★ Distance of the tip of the minute hand move in 1 hour.

{\large{\bold{\rm{\underline{Solution}}}}}

★ 94.2 cm² is the distance of the tip of the minute hand move in 1 hour

{\large{\bold{\rm{\underline{Using \; concept}}}}}

★ Formula to find circumference of circle

{\large{\bold{\rm{\underline{Using \; formula}}}}}

★ Circumference of circle = 2πr

{\large{\bold{\rm{\underline{Where,}}}}}

↝ π is pronounced as pi

↝ r denotes radius

↝ The value of π is 22/7 or 3.14

~ Note - But we have to use value of π as just 3.14 in this question because it is already given in the question that use π as 3.14

{\large{\bold{\rm{\underline{Full \; Solution}}}}}

  • Distance = 2πr

  • Distance = 2 × 3.14 × 15

  • Distance = 6.28 × 15

  • Distance = 94.2 cm²

{\large{\bold{\rm{\underline{Additional \; information}}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto CSA \: of \: sphere \: = \: 2 \pi r^{2}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto SA \: of \: sphere \: = \: 4 \pi r^{2}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto TSA \: of \: sphere \: = \: 3 \pi r^{2}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Diameter \: of \: circle \: = \: 2r}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Radius \: of \: circle \: = \: \dfrac{d}{2}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Volume \: of \: sphere \: = \: \dfrac{4}{3} \pi r^{3}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: circle = \: \pi r^{2}}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Circumference \: of \: circle \: = \: 2 \pi r}}}

\; \; \; \; \; \; \;{\sf{\bold{\leadsto Diameter \: of \: circle \: = \: 2r}}}

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