If two circles have radii of 3 units and 4 units, what is the distance between t

₹0.0

Question: If two circles have radii of 3 units and 4 units, what is the distance between their centers if they are externally tangent?

Options:

Correct Answer: 7 units

Solution:

The distance between the centers of two externally tangent circles is the sum of their radii: 3 + 4 = 7 units.

If two circles have radii of 3 units and 4 units, what is the distance between their centers if they are externally tangent?

If two circles have radii of 3 units and 4 units, what is the distance between their centers if they are externally tangent?

Step 1: Identify the radii of the two circles. The first circle has a radius of 3 units and the second circle has a radius of 4 units.
Step 2: Understand that when two circles are externally tangent, they touch each other at one point without overlapping.
Step 3: To find the distance between the centers of the two circles, you need to add their radii together.
Step 4: Calculate the sum of the radii: 3 units (first circle) + 4 units (second circle) = 7 units.
Step 5: Conclude that the distance between the centers of the two externally tangent circles is 7 units.

Tangency of Circles – Understanding the relationship between the radii of two circles and the distance between their centers when they are externally tangent.
Distance Calculation – Calculating the distance between two points based on geometric properties.