Respuesta :
Before doing the question we shall know that , the area and circumference of a circle with radius 'r units' is given by :-
[tex]{\boxed{\sf Circumference = 2\pi r \:\:units}}[/tex]
[tex]{\boxed{\sf Area = \pi {r}^2 \:\: sq. \: unit}}[/tex]
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Now coming back on the question ;
[tex]{: \implies \quad \sf Circumference = 2\times \dfrac{22}{7}\times 6}[/tex]
[tex]{\boxed{ \bf \therefore \quad Circumference = \dfrac{264}{7} \: units }}[/tex]
Also ;
[tex]{: \implies \quad \sf Area = \dfrac{22}{7} \times 6 \times 6}[/tex]
[tex]{\boxed{ \bf \therefore \quad Area = \dfrac{792}{7} \: sq. \: unit }}[/tex]
We are done :D
Required solution :
Area of the circle :-
We know formula of calculating the area of circle,
- A = πr²
Here in this formula,
- Value of π is 22/7
- r is radius
- A is area
We have :
- Radius (r) = 6 cm
- Area = ?
Putting the values in the formula,
=> A = (22/7) (6)²
=> A = (22/7) × 6 × 6
=> A = 22 × 6 × 6 / 7
=> A = 22 × 36 / 7
=> A = 792 / 7
=> A = 113.14
Therefore, area of the circle is of 113.14 cm².
Circumference of circle :-
We know that formula of calculating the circumference of circle,
- C = 2πr
Here in this formula,
- C is circumference
- Value of π is 22/7
- r is radius
We have :
- Radius = 6 cm
Putting the values in the formula,
=> C = 2 × 22/7 × 6
=> C = 44 × 6 / 7
=> C = 264 / 7
=> C = 37.71
Therefore, circumference of circle is of 37.71 cm.