Please help me find this shaded reigon fast

Mathematics

1 answer:

zlopas [31]3 years ago

6 0

Answer:

=293.7m²

Step-by-step explanation:

Area of the shaded region = area of the circle-area of the minor segment.

The area of the minor segment is calculated as follows.

Area= Area of sector - area of the triangle bound by the radii.

=∅/360πr²-1/2r²sin∅, where r is the radius of the circle and ∅ the obtuse angle bound by the radii.

=130/360×π×11.1²-1/2×11.1²sin130

=93.43m²

Area of the whole circle =πr²

=π×11.1²

=387.08m²

Area of the shaded region

=387.08m²-93.43m²

=293.65m²

≅293.7m² to the nearest tenth.

You might be interested in

The population of North Carolina in 2010 was 9,535,483 people. The population of South Carolina in 2010 was 4,625,364 people.

Sati [7]

a) North Carolina has 4,910,119 more people than South Carolina

b) the population of North Carolina is 2.06 times larger than that of South Carolina

Step-by-step explanation:

Here the question is asking "how much larger is the population of North Carolina than South Carolina". This means that we have to compare the absolute value of the population of North Carolina with the population of South Caroline.

We have:

NC = 9,535,483 is the population of North Carolina

SC = 4,625,364 is the population of South Carolina

In order two compare the two, we have to calculated the difference between NC and SC. Plugging into a calculator, we get:

$NC-SC=9,535,483-4,625,34=4,910,119$

So, North Carolina has 4,910,119 more people than South Carolina.

In this question, we are asked "how many times larger is North Carolina’s population than South Carolina’s population". This is equivalent to ask what is the ratio between the population of North Carolina to that of South Carolina.

As we said before, we have:

NC = 9,535,483 is the population of North Carolina

SC = 4,625,364 is the population of South Carolina

And by calculating the ratio, we find:

$\frac{NC}{SC}=\frac{9,535,483}{4,625,364}=2.06$