Identify the center and radius of each circle.
1 answer:
Answer:
1. Centre = (1,-3); r = 2;
2. Centre = (2,-1); r = 4
Step-by-step explanation:
1. (x - 1)² + (y + 3)² = 4
The centre-radius equation for a circle is
(x - h)² + (y - k)² = r²
The centre of the circle is at (h, k) and the radius is r.
By comparing terms in the two equations we see that
h = 1, k = -3, r = 2
Centre = (1,-3); r = 2
2. (x - 2)² + (y + 1)² = 16
Here,
h = 2, k = -1, r = 4
Centre = (2,-1); r = 4
The figure below shows the first circle in red and the second in green.
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Answer:
The radius of the cone is approximately 13.4 feet
Step-by-step explanation:
The dimensions of the given cone are;
The distance from the top of the cone to the edge of the cone = 15 feet
The height of the cone = 6 feet
The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;
The radius of the cone, r = √((Slant distance)² + (Height)²)
∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)
