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Norma-Jean [14]
3 years ago
15

9: Part A The diameter of a circle is 63 centimeters. ​Find its circumference. ​Use π=3.14. ​ A 31.5 centimeters B 98.91 centime

ters C 197.82 centimeters D 3,115.67 centimeters ​ Part B Find the area of the circle. ( use π=3.14 ) ​ Round your answer to the nearest hundredth. Answer: square centimeters. ​

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0
Part A:
The circumference of the circle is 197.92.

Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.

Part B:
The area is 3117.25 square cm.

Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².
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Answer:

The standard form of the given circle is

(x-2)^2+(y-\frac{7}{2})^2=73

Step-by-step explanation:

Given that the end points of a diameter of a circle are (6,2) and (-2,5);

Now to find the standard form of the equation of this circle:

The center is (h,k) of the circle is the midpoint of the given diameter

midpoint formula is M=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

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M=(2,\frac{7}{2})

Therefore the center (h,k) is (2,\frac{7}{2})

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The diameter is the distance between the given points (6,2) and (-2,5)

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

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=\sqrt{(-8)^2+(3)^2}

=\sqrt{64+9}

=\sqrt{73}

Therefore the radius is \sqrt{73}

i.e., r=\sqrt{73}

Therefore the standard form of the circle is

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Now substituting the center  and radiuswe get

(x-2)^2+(y-\frac{7}{2})^2=(\sqrt{73})^2

(x-2)^2+(y-\frac{7}{2})^2=73

Therefore the standard form of the given circle is

(x-2)^2+(y-\frac{7}{2})^2=73

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