1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uysha [10]
3 years ago
15

The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

A_s=\frac{\theta}{360}*\pi r^2 where θ is the measure of the central angle of the circle. For us, that fills in as follows:

48\pi=\frac{270}{360}*\pi r^2 and manipulate it as follows:

r^2=\frac{(360)(48\pi)}{270\pi} the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

A_s=\frac{\theta}{360}*\pi r^2 where θ again is the measure of the central angle of the circle, 90°:

A_s=\frac{90}{360}(3.1415)(10)^2 which simplifies a bit to

A_s=\frac{1}{4}(3.1415)(100), giving us an area of

A_s=78.5375m^2. Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

A_t=\frac{1}{2}(10)(10) which is

A_t=50m^2

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

You might be interested in
A school rent a bus for 90 bucks if 72 students ride the bus what is the cost per student​
Masja [62]

Answer:

$1.25

Step-by-step explanation:

90 / 72 = the cost per student

90 / 72 = 1.25

6 0
3 years ago
Read 2 more answers
Write an equation for a line perpendicular to y=4x−3 and passing through the point (4,1)
Darya [45]

y=4x-3(4,1)x2 (2-0) perpedkdkke

4 0
3 years ago
Look at the street map. What street intersects with Polk Street?
Alenkinab [10]

Answer:

Geary street :D

they intersect here

click on the photo. it's not a link it's a screenshot of where they intersect

4 0
2 years ago
Points representing 0.20, 0.35 and 0.42 are plotted on the number line.
SashulF [63]

Answer:

0.42 > 0.35

Step-by-step explanation:

' > ' means greater than

0.42 is greater than 0.35

3 0
3 years ago
81 divided by 9 =<br><br> please help i do not understand this
melomori [17]

Answer:

_______

its 9

_________

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you simplify 1/5(40x^5+13x^3-3x-5)-(3x^5-5x^3+5x)
    9·1 answer
  • In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four win
    10·1 answer
  • The box plots show male and female grades in a biology class
    6·1 answer
  • My rule is: y= 1/3x+ 11/15 Find x, if y=1.
    9·1 answer
  • at wassamatta university, 55.7% of the student body are males. choose one student at random. what is the probability that the st
    12·2 answers
  • Given that f(x)=x^2-3x+3 and g(x)=x-1/4 slove for f(g(x)) when x=5
    15·1 answer
  • Sigmund wrote four checks last month, and these were the only transactions for his checking account. According to his check regi
    13·2 answers
  • Factor 64b-16c to identify the equivalent expressions. *
    15·1 answer
  • I need the answer <br> Please
    12·2 answers
  • Solve the system using substitution 4x+3y=23 x-5=0
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!