It this circumference of a circle is 44cm. find its area
the radius is r = 44/2π = 22/π
so, now do the area, πr^2
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To find the area of a circle, we need to know the radius or diameter of the circle. However, in this case, we are given the circumference of the circle.
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the circumference of the circle is 44 cm, we can equate this to the formula:
44 = 2πr
To find the radius, we need to isolate 'r' in the equation. Divide both sides of the equation by 2π:
44 / (2π) = r
Now, we can use a calculator to evaluate the result:
r ≈ 7.0 cm (rounded to one decimal place)
Now that we have the radius, we can calculate the area of the circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Substituting the value of the radius in the formula:
A = π * (7.0 cm)^2
Using a calculator to evaluate the result:
A ≈ 154 cm^2 (rounded to two decimal places)
Therefore, the area of the circle with a circumference of 44 cm is approximately 154 cm^2.