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Marysya12 [62]
3 years ago
7

Find the exact area of a circle with a dimeter of 5 yards. Use 3.14 for pi

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

A = 6.25(pi)

A ~ 19.63495

Step-by-step explanation:

The formula for finding the area of a circle is;

A = (pi)r^2

Where (A) represents the area of the circle, (pi) represents the value (3.1415...) and (r) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.

This means that the radius for the given circle is (2.5), since (5÷2=2.5)

Substitute these values into the equation and solve for the area of the circle.

A = (pi)r^2\\\\A = (pi)(2.5)^2\\\\A = (pi)6.25\\

A ~ 19.63495

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A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r
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Step-by-step explanation:

\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.

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The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four
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Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

<em>Perimeter = sum of all sides</em>

<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

<em>47 = 3x + 2</em>

<em>47 - 2 = 3x</em>

45 = 3x

<u>x = 15</u>

substitute for x in each of the sides

<em>Side 1 = x                   => </em><em>15 feet</em>

<em>Side 2 = x - 1              => 15 - 1 = </em><em>14 feet</em>

<em>Side 3 = (x - 1) + 4      => 14 + 4 = </em><em>18 feet</em>

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