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3 years ago

What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth.

Mathematics

2 answers:

Alexxx [7]3 years ago

8 0

Answer:

A = 803.84 ft

Step-by-step explanation:

The area of a circle formula is A = πr²

We are given the radius, which is r = 16 ft.

So, all we have to do is substitute numbers:

A = (3.14)(16²)

A = (3.14)(256)

A = 803.84 ft

dezoksy [38]3 years ago

3 0

Answer:

803.84 ft ²

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The x-coordinates of $\triangle S'T'U'$ will be the negation of the x-coordinates of $\triangle STU$

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See attachment for $\triangle STU$ and $\triangle S'T'U'$

In order to solve this question, I will make the following assumptions.

Assume that the coordinates of $\triangle STU$ are

$S = (4,5)$

$T = (5,9)$

$U=(3,8)$

Refer to attachment for illustrations

(1) Reflect $\triangle STU$ over y-axis and describe the transformation

To reflect $\triangle STU$ across the y-axis, the following rule must be followed

$(x,y) \to (-x,y)$

This means that:

$S = (4,5) \to S' = (-4,5)$

$T = (5,9) \to T' = (-5,9)$

$U=(3,8) \to U'=(-3,8)$

The description of the transformation is as follows:

Notice that the signs of the x-coordinates $\triangle STU$ and $\triangle S'T'U'$ of both triangles are different.

In other words, if the x-coordinate of one is positive, then the other will have a negative x-coordinate; and vice versa.

(2) Compare the segments and the line of reflection

To reflect across the y-axis means that the reflecting line is the y-axis, itself.

The distance between a point to the y-axis is the absolute value of the x-coordinate.

So, the distance between S and the y-axis is:

$S = |4| = 4$

The distance between S' and the y-axis is:

$S' = |-4| = 4$

We can conclude that the two line segments are equal.

This is the same for other point T and T' because of the formula used above.

From T and T' to the y-axis is:

$T =|5| =5$

$T' =|-5| =5$