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Vlad [161]
3 years ago
9

the circumference of a circle is 11pi inches. what is the area, in square inches, of the circle? express in terms of pi.

Mathematics
2 answers:
boyakko [2]3 years ago
7 0
2 \pi r=circumference of the circle
r=5.5
(5.5) x^{2}  \pi =area
30.25 \pi =area

30.25\pi square inches is the area for the circle
murzikaleks [220]3 years ago
6 0
C= pi d
therefore 11= diameter
radius is 1/2 the diameter
radius= 5.5

A= pi r^2
A=30.25 pi
hope this helps
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Solve the following triangle. Given A=51 degrees b=40 c=45
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a=36.87\ units

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Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

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step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

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step 3

Find the measure of angle C

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A+B+C=180^o

substitute the given values

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