ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.
Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,
y=1.857
The diameter is 2y
=2(1.875)
The length of a Diameter is 3.714
Answer:
Step-by-step explanation:
A line that cuts a circle at two points is called "secant".
There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".
According the Intersecting Secant Theorem:
Having this expression, the next step is to solve for "d":
Use Distributive property:
Subtract 256 from both sides:
Divide both sides by 16:
The value of "d" rounded to the nearest tenth is: