Mathematics, 01.02.2021 05:40 depinedainstcom

A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°

Answers: 1

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Answers

Answer from: skater2699

$\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}$

Step-by-step explanation:

When given the central angle in degrees, the formula for sector area is:

$A=\frac{ \theta}{360} * \pi r^2$

where θ is the central angle and r is the radius.

We are given the diameter, so we must calculate the radius. The radius is half the diameter.

r= d/2

The diameter is 18 meters.

r= 18 m/2 r= 9 m

Now we know all the variables:

θ=135 r= 9 m

Substitute the values into the formula.

$A=\frac{ 135}{360} * \pi (9)^2$

Solve the exponent first.

(9)²= 9 m *9 m= 81 m²

$A=\frac{ 135}{360} * (81 \ m^2) \pi$

Solve the fraction.

$A=\frac{ 3}{8} * (81 \ m^2) \pi$

Multiply the two rational numbers.

$A=\frac{243}{8} \pi \ m^2$

The answer can be left like this, in terms of pi, or can be multiplied.

Using 3.14 as pi

$A=\frac{243}{8} *3.14 \ m^2$

$A= 95.3775 \ m^2$

Using the pi button as pi

$A= 95.42587685 \ m^2$

The area is 243/8 π, 95.3775, or 95.42587685 square meters.

Answer from: Quest

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

Me? ! with this question which relationship is a function?

Answer from: Quest

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

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