Question

Find the radius and diameter of the cirdes.
A Circumference 242 cm
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Answer 1

Answer:

Correct Question

Find the  radius and diameter of the circle if circumference = 242 cm.

SOLUTION

Formula of the Circumference of the circle = 2πr.

$\implies$ 2πr = 242

$\implies$

$\sf 2*\dfrac{22}{7}* r = 242$

$\implies$ 2 × 22 × r = 242 × 7

$\implies$ 44r = 1694

$\implies$

$\sf r = \dfrac{1694}{44}$

$\implies$ Radius (r) of the circle = 38.5 cm.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 38.5\ cm}\end{picture}$

Diameter of the circle = 2 × Radius

$\implies$ Diameter of the circle = 2 × 38.5

$\implies$ Diameter of the circle = 77 cm.

PERIMETER OF SOME COMMON SHAPES

RECTANGLE

PERIMETER = 2(l+b) , Where l is the length and b is the breadth .

Square

PERIMETER = 4a , Where 'a' is the side of the square.

Triangle

PERIMETER = a + b +c.

Circle

PERIMETER = 2πr

Answer 2

Question :-

Find the radius and diameter of the circle if  A Circumference 242 cm ?

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How can we find the αnswer

• Here we have circumference of circle to find the radius and the diameter of the circle firstly we will find the radius of the circle by using the formula of circumference the circle  and then we will find the diameter of the circle as we known that diameter is the double of the radius .

To find :-

• Radius = ?

• Diameter  = ?

Given :-

• Circumference of the circle = 242cm

Finding radius of the circle  :-

• Let take radius of the circle be x

⇢ Circumference of circle  = 2πr

$\longmapsto\:\mathsf{242cm = 2 \:\times \:22/7\: \times\: X}$

$\longmapsto\:\mathsf{242\:\times\:7 = 2 \:\times \:22\:\times\: X}$

$\longmapsto\:\mathsf{1694 = 2 \:\times \:22\:\times\: X}$

$\longmapsto\:\mathsf{1694 \:= \:44\:\times\: X}$

$\longmapsto\:\mathsf{\dfrac{1694}{44} \:= \: X}$

$\longmapsto\:\mathsf{38.5\:= \: X}$

• as we known that we have taken the radius of the circle be x now here so now the value of x is 38.5

$\longmapsto\:\boxed{\mathsf{Radius\:=\:X\:=\:38.5}}$

• So the radius of the circle is 38.5cm

Finding diameter of the circle :-

⇢ Diameter = Radius × 2

⇢ Diameter = 38.5 × 2

⇢ Diameter = 77cm

• So the diameter of the circle is 77cm .

______________________

αnswers :-

⇢ The diameter of the circle is 77cm .

⇢ So the radius of the circle is 38.5cm