Answer:
(x + 4)² + (y + 1)² = 9
Explanation:
The general equation for a circle is given below:
Given a circle with center (-4,-1) and radius 3, its equation is:
The correct option is the first one.
9514 1404 393
Answer:
- 113.0 cm²
- 2464.0 in²
- 95.0 ft²
Step-by-step explanation:
1. The area of a circle is given by the formula ...
A = πr² . . . . . where r is the radius
The radius is shown as 6 cm, so the area is ...
A = (3.14)(6 cm)² = 113.0 cm²
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2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.
A = (22/7)(28 in)² = 2464 in² . . . . see comment
__
3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...
A = (3.14)(5.5 ft)² = 95.0 ft²
_____
<em>Additional comment</em>
If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.
Answer:
2:16 i guess
There's no "possible answers"
Step-by-step explanation:
Answer:
<h2>a) (5, 11)</h2><h2>b) r = 9</h2><h2>c) (-4, 11)</h2>
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the equation:
Therefore
a) h = 5, k = 11 → the center (5, 11)
b) r² = 81 → r = √81 = 9 - radius
c) We choose any value of x, but one which h - r ≤ x ≤ h + r
5 - 9 = -4
5 + 9 = 14
-4 ≤ x ≤ 14
Let x = -4. Put to the equation and solve for y:
<em>subtract 81 from both sides</em>
<em>add 11 to both sides</em>
(-4, 11)