Question

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.1146 square cm is the area of a circle with 120cm circumference. solution: a=pi*r^2; c=120cm; c=2*pi*r; r=c/(2*pi; r=19.1cm a=3.14*19.1^2; a=1145.5 round to nearest whole number a=1146square cm

Answer 1

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 = $2 \pi r$

where r is the radius

We are given circumference = 120 cm.

So,  $2 \pi r=120$

$2\times 3.14 r=120$

$r=120\times \frac{1}{2\times 3.14}$

$r=19.10$

Area of circle = $\pi r^2$

                     = $3.14 \times (19.10)^2$  

                     = $1145.50$  

Hence the area of the circle is 1145.50 sq.cm

Answer 2

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 = $\frac{120}{2\pi }$

 = $\frac{60}{\pi }$

 = 19.10 cm

Now we know the formula of area of the circle

Area = $\pi r^{2}$

        = $\pi (19.10)^{2}$

        = 3.14×364.81

        = 1145.5 cm²

        ≈ 1146 cm²

Therefore, area of the circle is 1146 cm².