Question

how many times should a wheel of diameter 7m rotate to go around the perimeter of a rectangular field of length 70m and breadth 40m?

answer it right and u get thx, and brainliest

Answer 1

AnSwer -:


To cover 220 m the wheel will rotate 10

times.

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Explanation-:

The circumference of circle ⭕️-:

“ C = 2 π r”

Radius of the circle ⭕️-:

“R = D/2”

π = 22/7 or 3.14

r = Radius

The perimeter of rectangle-:

“P = 2(l+b)”

P = Perimeter

L = length

B = Breadth

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Now ,

Given ,

Diameter of a circle = 7 m

Length of rectangular field-:70 m

Breadth of rectangular field-: 40 m

To find ,

How many times the wheel will rotate to

cover perimeter of rectangular field.

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Now ,

Circumference of circle = Distance cover

in one rotation.


The circumference of circle ⭕️-:

“ C = 2 π r”

π = 22/7 or 3.14

Radius-: “R = D/2”

D= Diameter = 7m

Now ,

7/2

= 3.5 m

Radius of circle ⭕️-: 3.5 m

Now ,

2 x π x 3.5

2 x 22/7 x 3.5

2 x 22 x 0.5

44 x 0.5

22 m

Now ,

Circumference of circle or the distance it

can cover in one rotation-:22 m

The perimeter of rectangular field-:

“P = 2(l+b)”

P = Perimeter

L = length = 70 m

B = Breadth = 40 m

Now ,

2 x (70 + 40)

2 x 110

220

Now ,

Perimeter of rectangular field-: 220 m

Now ,

No. of rotation-:

Perimeter of rectangle/ the distance it

can cover in one rotation

Now ,

220/22

= 10

No. of rotation is 10

Hence ,

To cover 220 m the wheel will rotate 10

times.

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Rectangle-: A rectangle is a shape with

four straight sides and four angles of 90

degrees (right angles). Two of the sides

are longer than the other two.

Circle-: A circle is a round shaped figure

that has no corners or edges.

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