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Pani-rosa [81]
1 year ago
4

Calcul

Mathematics
1 answer:
tatiyna1 year ago
7 0

Answer:

I was kind of confused, but if you just want to know the area of a circle with a diameter it's 201.06 . (Also don't know how much to round by!)

Step-by-step explanation:

Using these two formulas:

A=πr^2

d=2r

(D is Diameter in this case)

(R is Radius which is 1/4)

--

A=1 /4πd^2 = 1 /4 *π*16^2 ≈ 201.06193

After rounding, 201.06.

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Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (
Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: (x + 7)^2 + (y - 10)^2 = 13^2

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

<u>Option A (5,12)</u>

When x=5, y=12

(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2

<u>Option B (-7,-3)</u>

When x=-7, y=-3

(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2

<u>Option C (-6,-10)</u>

When x=-6, y=-10

(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2

<u>Option D (6,23)</u>

When x=6, y=23

(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

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1 year ago
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