Question

Q.1 The sum of radii of two circles is 140 cm and the difference of their circumference is 88cm. Find the diameter of the circle ​

Answer 1

Answer:

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 r

So, circumference of first circle = 2\pi x

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

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

⇒ 88=2\pi (140-x)-2\pi x

⇒ 88=2\pi (140-x-x)

⇒ 88=2\pi (140-2x)

⇒ 44=3.14 \times(140-2x)

⇒ \frac{44}{3.14}=(140-2x)

⇒ 14.01=(140-2x)

⇒ 2x=(140-14.01)

⇒ 2x=125.99

⇒ x=\frac{125.99}{2}

⇒ x=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

HOPE YOU UNDERSTAND IT

MARK ME AS BRAINLIEST

Answer 2

hiii

your answer is here!

follow me!

mark my answer as brainliest!