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2 years ago

The circumference of a circle is 314 units. What is the area?

Mathematics

1 answer:

german2 years ago

4 0

Answer:

7850 square units

Step-by-step explanation:

According to the question;

Circumference of a circle is 314 units;

We are required to find the area of the circle;

First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

= 100 units

But, radius = Diameter ÷ 2

= 100 units ÷ 2

= 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

= 7850 square units

Thus, the area of the circle is 7850 square units

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