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1 answer:
The missing statements with regard to the mathematical proof are:
- "inscribed angles; one half the measure of their intercepted arcs" (Option D); and
- inscribed angles; equal to the measure of their intercepted arcs (Option B).
It is to be noted that an intercepted arc is the arc that sits inside the inscribed angle. See the attached image.
Thus, it is correct to state that
The missing statements with regard to the mathematical proof are:
- "inscribed angles; one half the measure of their intercepted arcs" (Option D); and
- inscribed angles; equal to the measure of their intercepted arcs (Option B).
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Answer:
Hence the Distance from each other chord to center is 84 inches.
Step-by-step explanation:
Given:
Diameter =170 inches
2 chords with each length =26 inches.
To Find:
Distance of each chord from the circle.
Solution:
Consider a circle with center as O ,
And OA as Radius
(Refer the attachment)
So as chord be BC and DE respectively with each of 26 length
They have both same length so they should located at same distance from center but as mirror images of each other opposite side of the diameter as shown in fig.
Hence we can calculate for one chord as follows:
Radius =diameter/2=170/2=85
r=85 inches.
Let distance from center t o chord be 'x'
Now draw perpendicular to chord BC with F as midpoint for chord and join endpoints of chord to the center which forms triangle OFC as right angled triangle,
By using pythagorus Theorem
Here OC=85 inches , FC=26/2=13 inches.
So
7056
inches
Hence the Distance from each other chord to center is 84 inches.