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

Area of the circle is 1146 cm².

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 =
`(120)/(2\pi )`

=
`(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.

Answer 2

1145.50 sq.cm

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* 3.14 r=120`

`r=120* (1)/(2* 3.14)`

`r=19.10`

Area of circle =
`\pi r^2`

=
`3.14 * (19.10)^2`

=
`1145.50`

Hence the area of the circle is 1145.50 sq.cm