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Irina-Kira [14]
3 years ago
5

A circle is defined by the equation given below.

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

(1/2, 1)

2

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

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What is the Area of the circle in pi units if the diameter is 6 cm?
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The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

<h3>What is the area of the circle?</h3>

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

A=\pi\dfrac{d^2}{4}

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

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Put this value in the above formula to find the area of the circle as,

A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

Learn more about the area of the circle here;

brainly.com/question/402655

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