Two circle intersect at point T, if the small circle radius is 4 and C is the center of the big circle, then the biameter of the larger circle must be
To find the diameter of the larger circle, we need more information. Could you provide the radius of the larger circle or any additional information?
To find the diameter of the larger circle, we need additional information such as the radius of the larger circle or the distance between the centers of the two circles. Without this information, we cannot determine the diameter of the larger circle.
If you have any additional information or any other question, feel free to ask!
The diameter of the larger circle must be equal to the distance between the centers of the two circles plus twice the radius of the smaller circle.
Let A be the center of the smaller circle.
Using the Pythagorean theorem, we can find the distance between the centers of the two circles.
Let's call the distance between the centers of the two circles as d.
In right triangle CTA, where C and A are the centers of the big and small circles respectively, and T is the point of intersection, we have:
(d/2)^2 + 4^2 = d^2
(d^2)/4 + 16 = d^2
(d^2)/4 - d^2 = -16
-d^2/4 = -16
d^2/4 = 16
d^2 = 64
d = 8
Therefore, the distance between the centers of the two circles is 8.
The diameter of the larger circle is equal to 8 + 2 * 4, which is 16.
Therefore, the diameter of the larger circle must be 16.