Question

3
3 If radius = l4 cm find diameter and
cisumference of the circler​

Answer 1

Correct Question:-

• If radius is 14 cm. Find the Diameter and the Circumference of the circle.

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\mapsto$ Here it is given in the question that the the radius of a circle is 14 cm. Now the question has asked us to find out the diameter and circumference (perimeter) of the given circle. First of all we will find out the diameter by the formula of diameter that is 2r. Then to find the circumference we need to apply the formula of circumference of circle that is 2πr.

ANSWER:-

• Diameter is 28 cm.
• Circumference is 88 cm.

GIVEN:-

• Radius of the circle = 14 cm

TO FIND:-

• Here we have to find the Diameter and Circumference of the given circle.

SOLVING STEP BY STEP:-

• To find the diameter we have to put the values in the formula and then by solving it we will simply get the diameter.

We know that:-

$\underline{ \boxed{\sf \bigstar Diameter\:of\:circle = 2r}}$

Where,

• Here, value of r is = 14 cm

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• Finding the diametre:-

$\to\sf{Diameter = 2 \times 14 \: cm}$

$\to\sf{Diameter = 2 \times 14 \: cm = 28 \: cm}$

$\overline{ \boxed{\sf Diameter\:of\:circle = 28 \: cm}}$

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• Finding the circumference:-

$\sf {Circumference = 2 \times \dfrac{22}{7} \times 14 \: cm}$

$\sf {Circumference = \dfrac{2}{1} \times \dfrac{22}{7} \times 14 \: cm}$

$\sf {Circumference =\dfrac{2 \times 22}{7} \times \dfrac{14}{1} \: cm}$

$\sf {Circumference =\dfrac{44}{7} \times \dfrac{14}{1} \: cm}$

$\sf {Circumference =\dfrac{44 \times 14 \: cm}{7}}$

$\sf {Circumference =\dfrac{616 \: cm}{7}}$

$\sf {Circumference =\dfrac{ \not{6} \not{1} \not{6}\: cm}{ \not{7}}} = 88 \: cm$

$\overline{ \boxed{\sf Circumference = 88 \: cm}}$

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Abbreviations used:-

• R = Radius

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Answer 2

Correct Question :

• If radius is 14 cm. Find the Diameter and the Circumference of the circle.

Given :

• Shape = Circle
• Radius of Circle = 14cm

To Find :

• Diameter of the Circle
• Circumference of the Circle

Solution :

✰ As we know that, Diameter of the Circle and Circumference of the Circle are given by 2 × radius and 2πr respectively. Now in this question, Radius of the circle is given, so simply we will put the given values in the formula to find the Diameter and Circumference of the Circle.

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⠀⠀⠀⟼⠀⠀⠀Diameter = 2 × Radius

⠀⠀⠀⟼⠀⠀⠀Diameter = 2 × 14

⠀⠀⠀⟼⠀⠀⠀Diameter = 28cm

And,

⟼ Circumference = 2πr

⟼ Circumference = 2 × 22/7 × 14

⟼ Circumference = 2 × 22 × 2

⟼ Circumference = 44 × 2

⟼ Circumference = 88cm

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Thus, Diameter and Circumference of the Circle are 28cm and 88cm respectively.

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★ Additional Info :

Formulas Related to Circle:

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Diameter of Circle = 2r
• Radius of Circle = D/2