- Circumference and Area of Circles
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- Circle: Diameter, Radius, and Chord
- Circumference of a Circle
- Area of a Circle
- Circumference and Area of a Circle
- Distinguishing Between the Area and Circumference of a Circle

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# Area of a Circle

The area of a circle is the extent of interior of a circle.

The area of a circle is the number of square units inside that circle. If each square in the circle below has an area of 1 cm^{2}, we can count the total number of squares to get the area of this circle. Thus, if there were a total of 28.24 squares, the area of this circle would be 28.24 cm^{2}

However, it is easier to use one of the following formulas −

**Formula for Area of a Circle**

Area of a circle is given by the formula A = πr

^{2}where π = 3.14 and r is the radius of the circle.Area of a circle is given by the formula A = πd

^{2}/4 where π = 3.14 and d is the diameter of the circle.

Find the area of following circle. Use π = 3.14

### Solution

**Step 1:**

Given diameter = 13; radius r = 13/2 = 6.5 units

**Step 2:**

Area of Circle = πr^{2} = (3.14)(6.5)(6.5) = 132.67 square units

Find the area of following circle. Use π = 3.14

### Solution

**Step 1:**

Given radius r = 6 units

**Step 2:**

Area of Circle = πr^{2} = (3.14)(6)(6) = 113.04 square units