1. Find two different parametric descriptions for he circle of radiu 4 centered at (-3, 2).
2. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC.
1. Find two different parametric descriptions for he circle of radiu 4 centered at (-3, 2).
2. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC.
1. A circle of radius 4 centered at (-3, 2) has the equation $\displaystyle (x + 3)^2 + (y - 2)^2 = 16$. However, you can use trigonometric functions to establish a circular path with center (h, k) and radius r:
$\displaystyle x = h + r \sin t$
$\displaystyle y = k + r \cos t$
or
$\displaystyle x = h + r \cos t$
$\displaystyle y = k + r \sin t$.
The first represents a clockwise path, and the second represents a counterclockwise path.
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2. The radius of the circumscribed circle of the $\displaystyle \Delta ABC$ is 15 cm.
Given that $\displaystyle \angle B = 49^o$, find the length of side $\displaystyle AC.$Code:A * o * * /*\ * * / * \ * * / * \ * / 15* \ * / * \ * * / Po 98° \ * * / * \ * / 49° 15 * \ B o - - - - - - - - o C * * * * * * *
The center of the circle is $\displaystyle P$.
Draw radii $\displaystyle PA = PC = 15$
Since inscribed angle $\displaystyle ABC = 49^o$, then central angle $\displaystyle APC = 98^o$
Use the Law of Cosines on $\displaystyle \Delta APC.$