IXL | Find the area of a circle given the circumference

The circumference of a circle is 18.84 yards. What is the circle's area?

18.84 yd

Round your answer to the nearest hundredth.

square yards

ref_doc_title.

Learn with an example

question

The circumference of a circle is 6.28 centimeters. What is the circle's area?

6.28 cm

Round your answer to the nearest hundredth.

square centimeters

key idea

Use these formulas to relate the circumference and area to the radius.

Use 3.14 as an approximation for

≈

3.14

solution

First, find the radius.

The circumference is 6.28 centimeters. Replace

by 6.28 in the formula.

6.28

≈

3.14

6.28

≈

6.28

≈

Now, use the radius to find the area. The radius is 1 centimeter. Replace

by 1 in the formula.

≈

3.14

≈

3.14

≈

3.14

The area is about 3.14 square centimeters.

Looking for more? Try these:

Lesson: Circumference of circles

Lesson: Area of circles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

BB.5Circumference of circles

BB.6Area of circles

Lesson: Circumference of circles

Lesson: Area of circles

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