Respuesta :
Answer:
1145.50 sq.cm
Step-by-step explanation:
Given : circumference = 120 cm.
To Find: Find the area of the circle.
Solution:
Circumference of circle = [tex]2 \pi r[/tex]
where r is the radius
We are given circumference = 120 cm.
So, [tex]2 \pi r=120[/tex]
[tex]2\times 3.14 r=120[/tex]
[tex] r=120\times \frac{1}{2\times 3.14}[/tex]
[tex] r=19.10[/tex]
Area of circle = [tex]\pi r^2[/tex]
= [tex]3.14 \times (19.10)^2[/tex]
= [tex]1145.50[/tex]
Hence the area of the circle is 1145.50 sq.cm
Answer:
Area of the circle is 1146 cm².
Step-by-step explanation:
Given : Circumference of the circle = 120 cm
We have find the area of this circle.
Since formula for the circumference of any circle is represented by
C = 2πr
Where r = radius of the circle
By replacing C = 120 cm in the formula,
120 = 2πr
r = [tex]\frac{120}{2\pi }[/tex]
= [tex]\frac{60}{\pi }[/tex]
= 19.10 cm
Now we know the formula of area of the circle
Area = [tex]\pi r^{2}[/tex]
= [tex]\pi (19.10)^{2}[/tex]
= 3.14×364.81
= 1145.5 cm²
≈ 1146 cm²
Therefore, area of the circle is 1146 cm².
