Question

there are two circles on a graph if the radius of the bigger circle is 2 cm find the radius of the other

Answer 1

The length of the radius of two circles are 5 cm and 3 cm. The distance between their center is 13 cm. Find the length of the tangent who touches both the circles?

Geometry  Circumference and Area of Circles

1 Answer



CW

Feb 2, 2017

Answer:

√165

Explanation:



Given :
radius of circle A = 5 cm, 
radius of circle B = 3cm, 
distance between the centers of the two circles = 13 cm.

Let O1andO2 be the center of Circle A and Circle B, respectively, as shown in the diagram.

Length of common tangent XY,
Construct line segment ZO2, which is parallel to XY
By Pythagorean theorem, we know that
ZO2=√O1O22−O1Z2=√132−22=√165=12.85

Hence, length of common tangent XY=ZO2=√165=12.85 (2dp

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Answer 2

Given :
radius of circle A = 5 cm, 
radius of circle B = 3cm, 
distance between the centers of the two circles = 13 cm.
Let O1andO2 be the center of Circle A and Circle B, respectively, as shown in the diagram.
Length of common tangent XY,
Construct line segment ZO2, which is parallel to XY
By Pythagorean theorem, we know that
ZO2=√O1O22−O1Z2=√132−22=√165=12.85
Hence, length of common tangent XY=ZO2=√165=12.85 (2dp)