A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. Which customer wil
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central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians
Step-by-step explanation:
We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.
arc length l== 7.2 cm
radius =r= 8 cm
central angle=Ф = ?
The formula used is:
Putting values:
So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians
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Answer:
We need to demontrate
As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.
<h3>Therorem.</h3><em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>
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Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.
Therefore, based on the inscribed angle arc theorem, we have
