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3 years ago

Find the area of the figure to the nearest tenth

Mathematics

1 answer:

schepotkina [342]3 years ago

7 0

Answer:

Step-by-step explanation:

This is a sector of a circle measuring 140° and the circle has radius 9 inches.

We can use the formula for the area sector of a circle to figure this out.

Area of a Sector of a Circle = $\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the intercepted angle (here it is 140), and

r is the radius (here it is 9)

<em>plugging into the formula, we get:</em>

<em> $A=\frac{\theta}{360}*\pi r^2\\=\frac{140}{360}*\pi (9)^2\\=\frac{7}{18}*81\pi\\=98.96$ </em>

rounding to nearest tenth, it is 99.0 inches squared.

Option A is right.

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

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3 years ago

After Ricardo received his allowance for the week, he went to the mall with some friends. He spent half of his allowance on a ne

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3 years ago

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saw5 [17]

Answer:

9600 sq in

Step-by-step explanation:

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