Given: circle a externally tangent to circle b. how many possible common tangents to circles a and b can exist?

3 possible common tangents to circles A and B .

Step-by-step explanation:

A line that touches a curve or a circle at a point without crossing over is called tangent.

A line tangent to a circle is always perpendicular to the radius to the point of tangency.

When two circles touch each other externally, there are 3 lines which make right angle with radus of the circles at the point of intersection of circle and tangents.

Therefore, 3 common tangents can be drawn to the circles can exist .

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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