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=pir^2; c=120cm; c=2pir; r=c/(2pi; r=19.1cm a=3.14*19.1^2; a=1145.5 round to nearest whole number a=1146square cm
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:
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.