Tangent Be and secant BC intersect at point B. Find the value of x. If necessary, round to the hundredths place.
1 answer:
The value of x is 15.56.
Solution:
Tangent and Secant theorem:
If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.
BE = 22 BD = x, CD = x
BC = x + x = 2x
By the tangent and secant theorem,
Divide by 2 on both sides of the equation, we get
Take square root on both side of the equation.
x = 15.56
Hence the value of x is 15.56.
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Answer:
Step-by-step explanation:
Formula:
Since the base is a circumference, we can replace B for the area of a circumference formula.
What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.
this is the radius.
Now plug all this information into your formula.
Our values are in feet but the question requires cm. Let's convert from to
.
Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.
Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.
Now we have our conversion factors.
