Find the circumference of a circle whose diameter is3.5 cm
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Answer:
C=2πr
Step-by-step explanation:
C=2πr
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Given :
- Diameter of a circle = 3.5 cm
To find :
- Circumference of a circle
Knowledge required :-
- Formula to calculate radius od a circle :-
⠀⠀⠀⠀⠀Radius = Diameter/2
- Formula to calculate circumference of a circle :-
⠀⠀⠀⠀⠀Circumference = 2πr
[Where : Take π = 22/7 and r is the radius of the circle.]
Solution :
Firstly, we will find the radius of the circle.
⠀⠀⠀⇒ Radius = Diameter/2
⠀⠀⠀⇒ Radius = 3.5/2
⠀⠀⠀⇒ Radius = 35/20
⠀⠀⠀⇒ Radius = 7/4
⠀⠀⠀⇒ Radius = 1.75
Radius of the circle = 1.75 cm
Now, substitute the value of the radius of the circle in the formula of circumference of the circle to find it's value.
⠀⠀⠀⇒ Circumference = 2πr
⠀⠀⠀⇒ Circumference = 2 × 22/7 × 1.75
⠀⠀⠀⇒ Circumference = 77/7
⠀⠀⠀⇒ Circumference = 11
Circumference of the circle = 11 cm
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Some related formulae :-
- Area of circle = πr²
- Diameter = 2 × Radius
- Surface area of sphere = 4πr²
- Volume of cylinder = πr²h
- Volume of cone = 1/3 πr²h
- Curved surface area of cone = πrl
- Total surface area of cone = πrl + πr²h
- Total surface area of cylinder = 2πrh + 2πr²
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