Answer:
The radius of the circle is 10.2 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
In the figure to the right, if AC=19 and BC=16, what is the radius?
A circle has center A. Points B and D are on the circle, with B on the left and D near the bottom. Point C lies outside the circle such that the line segment A C passes through point D and the line segments A B and B C form a right angle.
The radius is approximately (Round to the nearest tenth as needed.)
The picture of the question in the attached figure
we know that
In the right triangle ABC
Applying the Pythagorean Theorem

substitute the given values

solve for AB


Remember that the radius is the same that the segment AB
therefore
The radius of the circle is 10.2 units
Answer:
5
Step-by-step explanation:
5x5 = 25
25-20 = 5
Answer:
The missing number is 21
Step-by-step explanation:
-12 + x = 9
x = 9 + 12
x = 21
the surface area of the sphere is π/4 cm^3
<h3>How to determine the surface area</h3>
It is important to know the formula for surface area and volume of a sphere
Surface area = 
Volume = 
First, let's determine the value of radius, r
The value for volume was given as 256/3π cm3.

Pi cancels out and we have cross multiply to get the radius


Make r the subject of the formula
![r = \sqrt[3]{\frac{768}{12} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B12%7D%20%7D)
![r = \sqrt[3]{64}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B64%7D)
r = 4
Let's substitute to find the surface area
Surface area = 
Surface area = π/4
Surface area = π/4 cm^3
Thus, the surface area of the sphere is π/4 cm^3
Learn more about a sphere here:
brainly.com/question/10171109
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Answer:
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