Question

Which sector below has the greatest area? Diagrams are not drawn to scale. (1 point)

Answer 1

anyone help me?

Answer 2

help please.

Answer 3

Calculate the area of each sector. Do you know the formula for the area of a sector?

Answer 4

\[A=\frac{\theta}{360}\times \pi r^2\] i believe is the formula

Answer 5

the first one is easiest. it a quarter of the whole circle
the entire circle has area \(\pi \times 4^2=16\pi\) so one quarter of it is \(4\pi\)

Answer 6

second one is
\[\frac{60}{360}\times \pi \times 5^2\] or
\[\frac{1}{6}\times 25\pi\] or even
\[\frac{25\pi}{6}\]

Answer 7

other two are similar

Answer 8

so which one would it be?

Answer 9

After you figure out all the areas. it might be easiest to tell which is larger by making them all have the same denominator. for the two that Satellite73 did for you:\[4\pi = \frac{ 24\pi }{ 6 } < \frac{ 25\pi }{ 6 }\]

You just need to do the same thing with the other two to figure out the largest area.

Answer 10

1. What is the area of a circle with a diameter of 8? (1 point)
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2. Which sector below has the greatest area? Diagrams are not drawn to scale. (1 point)
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3. If B has a radius of 4 and m = 36, what is the area of the sector ABC? (1 point)
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4. Which of the following is equal to the area of the sector ABC in the figure below?
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