Question

C.) A wire is bent to make 140 circles with radius 14 cm. How many circles can it make with radius
20 cm?
200 circles​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Your question ,

C.) A wire is bent to make 140 circles with radius 14 cm. How many circles can it make with radius

20 cm?

Your answer ,

Given ,

• a wire having length 'x' (say).

• it is bended so that 140 circules can make having radius 14 cm of all circles

So , your question is that how many circles can this wire make of radius 20 cm , if the length of the wire is same.

Situation - 1

We can use the formula of circumference to calculate the length of the wire from 14 cm radius's circle.

• Circumference of one circle having radius ( r = 14 cm ) is = 2πr

• = 2 x 22 x 14 / 7

• = 88 cm

So , the length of the wire is = 88 x 140 = 12320 cm

Situation - 2

if the radius of the circle ( r ) is 20 cm ,

Then , length of the wire is = 12320 cm

• Circumference of the circle having radius ( r = 20 cm ) = 2 πr

• = 2 x 22 x 20 / 7

• = 125.71 cm

So no. of total circles that can be make by the wire having radius 20 cm are

= 12320 / 125.71

= 98 circles