Area of Circle

radius = 10

Answer:

314.2 square units

Shape Visualization

Circle with radius 10 units

Step-by-Step Solution

1

Identify the formula for area of a circle

A = πr²
2

Substitute the given radius

A = π × 10²
3

Square the radius

10² = 100
4

Multiply by π (3.14159...)

π × 100 = 314.2
5

Final answer

Area = 314.2 square units

Formula Used

A = πr²

This formula calculates the area of a circle.

Real-World Applications

1

A circular pizza with 10 inch radius has 314.2 square inches of surface area

2

A circular pool with 10 meter radius covers 314.2 square meters

3

A round table with 10 foot radius = 314.2 square feet of table surface

Understanding Circle Area

The area of a circle is a fundamental concept in geometry. Area measures the amount of space inside a 2D shape, typically expressed in square units.

By using the formula A = πr², we can quickly and accurately calculate the area for any circle when we know the required measurements.

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