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2 years ago

7

Find the area of the pink sector(s). The diameter is 8.

1 answer:

Afina-wow [57]2 years ago

5 0

First we would need the sector formula which is: 丌r^2× angle/360

To find the radius,we would have to divide the diameter by two,which is:
l8÷2=4 units

We would also need to find the total valuenof angles of pink sectors:
41+44+47=132°

As it's not mentioned,let's take pi as 3.14.

In this case,it would be:

(3.14)(4)^2(132°/360°)
=16(3.14)(11/36)
=18.4213..
≈18.4 sq. units

Thus the answer us D.18.4 units.

Hope it helps!

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Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

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Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

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substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

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$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

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