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irakobra [83]
3 years ago
14

What is the area,in square centimeters,of a circle that has a circumference of 16 centimeters?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer: 20.38\ cm^2

Step-by-step explanation:

We know that the circumference of a circle is given by :-

C=2\pi r, where r is the radius of the circle .

Given : Circumference of circle = 16 cm

Then, 16=2\pi r

i.e r=\dfrac{16}{2\pi}=\dfrac{8}{\pi}          (1)

We know that the area of circle is given by :-

A=\pi r^2

i.e. A=\pi (\dfrac{8}{\pi})^2                    [From (1)]

i.e. A=\pi (\dfrac{64}{\pi^2})

i.e. A=\dfrac{64}{\pi}

Put \pi=3.14

A=\dfrac{64}{3.14}=20.3821656051approx20.38\ cm^2

Hence, area of circle = 20.38\ cm^2

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