Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
=
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a = ≈ 21.8 ( to the nearest tenth )
we conclude that the center of the circle is the point (-5, 0).
<h3>How to find the center of the circle equation?</h3>The equation of a circle with a center (a, b) and a radius R is given by:
Here we are given the equation:
Completing squares, we get:
Now we can add and subtract 25 to get:
Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).
If you want to learn more about circles:
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