The circumference of a circle can be calculated using the following equation;
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.
Answer:
the answer is 54
Step-by-step explanation:
plug in the numbers
-6×-9 - 3 × -6+2 × -9
solve to get 54
Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.