Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2r (round r to tenths); then find area). Area = cm2

Respuesta :

Circumference = 120
==> 120 = 2*pi*r
[tex] r = \frac{120}{2\pi} = 19.1 [/tex]
[tex] A = \pi r^{2} = 19.1^{2}\pi = 1145.5 cm^{2}[/tex]

Answer:

Area of circle is 1145.50 cm²

Step-by-step explanation:

Given : Circumference of circle = 120 cm

We have to find the area of the given circle.

Consider the given circle

We know circumference of circle = [tex]2\pi r[/tex]

Thus,  [tex]120=2\pi r[/tex]

Put π = 3.14

We have,

[tex]120 =2\times 3.14\times r[/tex]

Divide both sides by 6.28, we have,

r = 19.1 cm

Now, area of circle = [tex]\pi r^2[/tex]

Put r = 19.1

We have

Area of circle  = 1145.50 cm²

Thus, Area of circle is 1145.50 cm²