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grandymaker [24]
3 years ago
13

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

Mathematics
1 answer:
madreJ [45]3 years ago
6 0

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12

The radius is 12.

So the circumference of the circle is C = 2\pi r = 2\pi 12 = 24\pi = 75.36

So the area of the circle is A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16

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To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

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or you can use 

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Where: P = principal
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With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

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A = P(1+ rt)
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Your A is then equal to $488.40

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A = P + I
for the interest you transpose the P to the side of the A and you will get:
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