Question

the radii of two circles are 19 cm and 9 cm respectively. find the radius of the circle which has circumference equal to the sum of the circumferences of the two circle
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Answer 1

ƓƖƔЄƝ:-

Radius of two circle are 19cm and 9 cm

• Let ,R1=19 cm
• R2=9cm
• and R =radius of new circle formed

ƬƠ ƑƖƝƊ:-

Radius of circle which has circumference equal to sum of two circle

ƧƠԼƲƬƖƠƝ:-

Circumference of a circle :- 2πr

2πR1+2πR2=2πR

2π19+2π9=2πR

19+9=R

28=R

hence ,the radius of circle formed by these two circle is 28 cm

More to know :-

$\huge\star\underline\mathrm\pink{Definition:-}$

A circle is a closed two -dimension figure in which the set of all points in the plane is equidistant from a given point called "center".

Circle shaped objects:-

Ring

CD/Disc

Bangles

Button

Wheels

Parts of circle:-

$\bold{ARC:-}$

It is basically the connected curve of a circle

$\bold{Sector:-}$

A region bounded by two radii and an arc

$\bold{Segment:-}$

A region. bounded by a chord and an arc lying between the chords endpoint .It is to be noted. that segment do not contain the centre

$\bold{Annulus:-}$

The region bounded by two concentric .it is basically a ring shapes object .

$\bold{Center:-}$

It is mid point of a circle

$\bold{chord :-}$

A line segment whose end points lie on the circle

$\bold{Diameter:-}$

A line segment having both the endpoints on the circle and its largest chord

$\bold{Radius:-}$

A line segment connecting the center of a circle to any points on the circle itself

$\bold{Secant:-}$

A straight line cutting the circle at two points

(refer figure 03)

$\bold{tangent :-}$

A coplanar straight line touching the circle at a single point

(refer figure 02)

★Area of circle:-

$\huge\color{red}\boxed{\colorbox{black}{πr²}}$

★Circumference of circle:-

$\huge\color{Pink}\boxed{\colorbox{black}{2πr}}$

Answer 2

Answer:

• 28 cm

Step-by-step explanation:

Given :-

• Radii of two circles are 19 cm and 9 cm.

To find :-

• Radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

Solution :-

⇒ Radius of first circle = 19 cm

⇒ Radius of second circle = 9 cm

We are given with radii of two circles and are asked to find the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles.

⟹ Circumferences of two circles :

1. 2π(19)

2. 2π(9)

Now, their sum is equal to the circumference of circle.

⇒ 2π(19) + 2π(9) = 2πr

⇒ 38π + 18π = 2πr

⇒ 56π = 2πr

⇒ 56 = 2r (π get cancelled)

⇒ r = 56/2

⇒ r = 28

∴ Radius of the circle which has a circumference equal to the sum of circumferences of two circles with radius 19 cm and 9 cm respectively is 28 cm.

Learn more :-

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The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.