## Related Words

# Radius

## Definition of Radius

Radius is the distance from the center of a circle or a sphere to any point on the circle or a sphere.

In other words, radius is a line segment joining the center of a circle with any point on the circle.

### Examples of Radius

is a radius of the circle shown.

### Video Examples: How to Find a Radius Between Two Points

### Solved Example on Radius

**Ques:** Find the radius of a circle with area 153.86 square inches. Take π = 3.14

##### Choices:

- A. 8
- B. 7
- C. 6
- D. 5

Correct answer: B

#### Solution:

- Step 1: Area of a circle of radius r = π r
^{2}[Original equation.] - Step 2: 153.86 = 3.14 r
^{2}[Substitute values.] - Step 3: [Divide each side by 3.14.]
- Step 4: 49 = r
^{2}[Simplify.] - Step 5: [ Evaluate square root on both sides.]
- Step 6: r = 7 [Ignore the negative value.]

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