All categories

2 years ago

What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120

Mathematics

1 answer:

dem82 [27]2 years ago

5 0

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

You might be interested in

How many ways can a cook arrange 9 of her 12 spice jars on a spice rack?

pshichka [43]

It depends if the 12 spice jars are all different.

If they are:

_ _ _ _ _ _ _ _ _ (9 spaces)

12*11*10*9*8*7*6*5*4

12 possibilities for first one, 11 for second, etc...

Multiply out to get:
79833600

5 0

3 years ago

Read 2 more answers

A single ticket to the fair costs $8. A family pass costs $25 more than half of that. How much does a family pass cost?

kvv77 [185]

Just do 8 divided by two and then add 25 to that and you get that answer which is $29

3 0

3 years ago

Hello dear students.

Vladimir [108]

Theater means expressing your own emotions and feelings in your own way without anyone judging you, express and grow your talent everyday with people who want to succeed in the same as you. Theater always has a story behind every sentence, poem, show, actor, etc…

7 0

1 year ago

coach made a deposit of $1,800 into an account that earns 2% simple interest.Find the amount of interest coach made in 3 years

Alexandra [31]

Answer:

39420

Step-by-step explanation:

Multiply 2% by 365, then you get 7.3, multiply 7.3 by 3, then you get 21.9, then last step, multiply 21.9 by 1800$

7 0

2 years ago

Q: using the Substitution Method, and the value ory in

GenaCL600 [577]

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

$44 - 4 = -2y ----equation 1$

$10 = 7x + 4y --- equation 2$

We can simply evaluate equation 1 to have

$40 = -2y\\y = 40/-2 = -20\\$

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

5 0

2 years ago