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How can you calculate the area of the circle if you know the circle's circumference?

User Laurajs
by
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2 Answers

2 votes

Answer:

We can calculate area of circle if we know the circumference

Explanation:

Points to remember

`1). Circumference of circle = 2πr

2). Area of circle = πr²

Where 'r' is the radius of circle

Find area of circle

From the above two equations we have to calculate area and circumference of a circle with radius.

If we have circumference, the we can calculate radius of the circle

r = circumference/2π

If we get radius 'r' the we can calculate area

Area of circle = πr²

User Rusheb
by
5.7k points
4 votes

Answer with step-by-step explanation:

We know that the formula for area of a circle is given by:

Area of a circle =
\pi r ^ 2

So to find the area of circle, we basically need to know the radius of the circle.

If we know the circumference of the circle, we can calculate the area of the circle too.

Formula for the circumference of the circle is given by:


2\pi r

So if we know the circle's circumference, we can find the value of radius and then find the area of circle with it.

User KorsG
by
5.6k points