How do you find the area of a circle when the circumference is 26 cm?

2*pi*r=26 ==> r=13/pi cm
Hence, Area=169/pi sq.cm

You know that the area is:

A = pi r^2,

and the circumference is

C = 2 pi r

So you need to find r. We know that C = 26 cm, so

26 = 2 pi r

r = 13 / pi

--

Now, substituting r = 13 / pi into the area equation,

A = pi (13 / pi)^2

= 13^2 / pi

= 169 / pi

Pi is the ratio of the circumference to the diameter. C= pi * d C = pi * 22.32 locate the circumference. Circumference = 26 * pi After that multiply the value consistent with metre by skill of the circumference. value = 26.fifty six * circumference

C = 2π r
26 = 2π r
r = 13/π
A = π r²
A = π (13/π)²
A = π x 169 / π²
A = 169 / π
A = 53.8 cm²

circumference is given by 2*pi*radius.
so, 2*pi*r=26
or r=13/pi
so area = pi*r*r
= pi*13/pi*13/pi
= 169/pi = 53.8(approx)

divide 26 by 3.14 to get the diameter then divide by 2 to get the radius, then square the radius and multiply it by 3.14

Ans. 53.82 sq.cm.

Divide the circumference by 3.14 to get the diameter. That turns out to 8.28. Now that you've got the diameter, you need to get the radius because the formula for area is pi(r x r). To get the radius, divide the diameter by two. So that's 4. 14. Then square (multiply by the number itself) the radius. That turns out to 17.14. Then multiply that to 3.14. So you get 53.82 sq. cm!

Circumreference: 2(pi)r
Area: (pi)r^2

in which
(pi) = 3.14
r = radius of circle

given circumference = 26cm

2(pi)r = 26
r = 26 / (2(pi)) divide both sides by 2(pi)
r = 4.1380
---
area = (pi)(r)^2
= (pi)(4.1380)^2 subbing in r = 4.1380
= 53.794

The area of the circle is 53.794 cm^2.

Circumference = 2πr

r = C/2π = 26/2π

Then use the value you get to work out the area using

A = π(r^2)

2 pi r = 26, so r = 26 / 2 pi = 13 / pi
A = pi r^2 so A = pi * (13/pi)^2 = 169 / pi = approx 53.8.
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