﻿ Distance between center of two circles connected by one tangent. These probelems can easily by solved using the pythagorean theorem , see pictures below. Unfortunately, in the last year, adblock has now begun disabling almost all images from loading on our site, which has lead to mathwarehouse becoming unusable for adlbock users.

# Two Circles and One Tangent

## How to Find the Distance between the Circles's Centers

##### Example 1

$$HZ$$ is a tangent connecting to the 2 circles. What is the distance between the centers of the circles?

##### Example 2

$$HZ$$ is a tangent connecting to the 2 circles. What is the distance between the centers of the circles?

##### Problem 1
Step 1
Create the rectangle.
Step 2
$WP^2 = 6^2 + 24^2 \\ WP = \sqrt{ 6^2 + 24^2 } \\ \text{m } \overline{WP} \approx 24.7$
##### Problem 2
$WP^2 = 40^2 + 30^2 \\ WP = \sqrt{ 40^2 + 30^2 } \\ \text{m } \overline{ WP } = 50$
##### Problem 3
$WP^2 = 80^2 + 60^2 \\ WP = \sqrt{ 80^2 + 60^2 } \\ \text{m } \overline{ WP } = 100$