The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .
2 answers:
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Answer:
28 m
Step-by-step explanation:
The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784
c = √784 = 28
The longer side is 28 meters.
We need to convert the equation of the circle to standard form only then we can find the radius and the center of the circle.
From this equation we can write:
Center of the circle is (-1,1) and the radius of the circle is 4.
From this equation we can write:
Center of the circle is (-1,1) and the radius of the circle is 4.