f) If the circumferences of two concentric circles are 88 cm and 66 cm, then the difference of the
radii is
Answers
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
Answer:
3.5 is the requiered answer
Step-by-step explanation:
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