8) is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,
is in quadrant 4
To find:
From given,
Thus value of is -51.34 degrees
Convert degrees to radians
Thus is -0.896 radians
9)
From given,
radius = 15.4 cm
<em><u>The length of arc when angle in radians is:</u></em>
Thus length of arc is 41.91 cm
Answer:
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is
Therefore, the total area of the shaded squares is
