Pythagorean Theorem is for triangles not circles.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in your given information and simplify.
(x - (- 1))² + (y - 2)² = (3)²
(x + 1)² + (y - 2)² = 9 is your equation.
Answers:
- a = 64
- b = 112
- c = 78
- d = 88
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Explanation:
The 102 inscribed angle cuts off the arc that's composed of the 140 and 'a'.
Due to the inscribed angle theorem, we know that a+140 is exactly equal to twice that of 102.
This means,
a+140 = 2*102
a+140 = 204
a = 204-140
a = 64
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The angles 102 and c are inscribed angles opposite one another. They add to 180. This is true for any inscribed quadrilateral.
c+102 = 180
c = 180-102
c = 78
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Another useful rule is that the four angles of any quadrilateral always add to 360.
102+92+c+d = 360
102+92+78+d = 360
272+d = 360
d = 360-272
d = 88
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The inscribed angle d cuts off the arc a+b
This means 2d is the measure of a+b because of the inscribed angle theorem.
a+b = 2d
64+b = 2*88
64+b = 176
b = 176-64
b = 112
Answer:
1536 in²
Step-by-step explanation:
S = 6s²
We are told that s = 16 inches, so plugging in:
S = 6 (16)²
S = 1536 in²
Answer:
Step-by-step explanation:
6 is the thousands place
0 (right next to it) is the 10 thousands place
9 is the hundred thousands place. There is only 1 nine present so the answer is unique.