Math, asked by piyush112233kumar, 3 months ago

f) If the circumferences of two concentric circles are 88 cm and 66 cm, then the difference of the
radii is​

Answers

Answered by sahananeel07
0

Step-by-step explanation:

The diameter of first circle is 125.99 cm and Diameter of another circle is 154.01 cm

Step-by-step explanation:

Let the radius of one circle be x

Since we are given that the sum of the radii of the two circles is 140cm

So, the radius of another circle = 140-x

Formula of circumference =2\pi r2πr

So, circumference of first circle = 2\pi x2πx

Circumference of another circle = 2\pi (140-x)2π(140−x)

Since we are given that the difference of their circumferences is 88 cm

⇒ 88=2\pi (140-x)-2\pi x88=2π(140−x)−2πx

⇒ 88=2\pi (140-x-x)88=2π(140−x−x)

⇒ 88=2\pi (140-2x)88=2π(140−2x)

⇒ 44=3.14 \times(140-2x)44=3.14×(140−2x)

⇒ \frac{44}{3.14}=(140-2x)

3.14

44

=(140−2x)

⇒ 14.01=(140-2x)14.01=(140−2x)

⇒ 2x=(140-14.01)2x=(140−14.01)

⇒ 2x=125.992x=125.99

⇒ x=\frac{125.99}{2}x=

2

125.99

⇒ x=62.995x=62.995

So, radius of first circle = 62.995 cm

Diameter = radius *2 = 62.995*2=125.99 cm

Another radius = 140-x=140-62.995=77.005 cm

Diameter of another circle = 77.005*2=154.01 cm

Hence the diameter of first circle is 125.99 cm and Diameter of another circle is 154.01 cm

Answered by 2601ar
3

Answer:

3.5 is the requiered answer

Step-by-step explanation:

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