Sanders Gordon
02/22/2024 · Junior High School
Tho circles of denter \( P \) and \( Q \) with radis 4 en and 5.5 cm louches exlernally what is the dislance between their centers? 4 cm 5.5 cm 9.5 1.5
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Step-by-step Solution
To find the distance between the centers of two circles that touch externally, you can simply add their radii together.
Given:
- Radius of circle \( P \) = 4 cm
- Radius of circle \( Q \) = 5.5 cm
The distance \( d \) between the centers of the circles is given by:
\[
d = \text{Radius of } P + \text{Radius of } Q
\]
Calculating this:
\[
d = 4 \, \text{cm} + 5.5 \, \text{cm} = 9.5 \, \text{cm}
\]
So, the distance between the centers of the circles is **9.5 cm**.
Quick Answer
The distance between the centers is 9.5 cm.
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