# Find the area of a circle if the length of 1/3 of the circumference of this circle is 12.4 cm.

March 31, 2021 | education

| Given:

Circle;

1 / 3l = 12.4 cm;

π ≈ 3.1;

S =?

Decision:

1. Find the radius of the circle based on the given circumference.

The formula for the circumference is as follows.

l = 2πR;

Then 1/3 of the circumference is equal to:

1 / 3l = 2πR / 3;

R = 1 / 3l: 2π / 3;

R = 12.4: 2 * 3.1 / 3 = 12.4 * 3/2 * 3.1 = 2 * 3 = 6 (cm);

2. The area of a circle is calculated by the formula:

S = πR ^ 2;

S = 3.1 * 6 ^ 2 = 3.1 * 36 = 111.6 (sq. Cm);

Answer: 111.6 sq. cm.

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