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
alekssr [168]
3 years ago
5

The radius of a circle is 6 inches. What is the area of a sector bounded by a 90° arc?

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

[1] Let's make the problem easier to start. Imagine that they had said to find the area of a sector bounded by a 360* arc (the whole circle). Could we have found the area then? 

Sure we could! We know that A = pi*r^2, so that would just be:

A = pi*(6)^2 = 36*pi sq. miles.

Easy. But of course, we weren't so lucky... they want 135*... drat!

[2] Well, let's get a little closer, could we find the area if the angle was 180*? Sure! That's just half the circle. After all:

180*/360* = 1/2.

We know the whole circle is 36*pi sq. miles. So, the area bounded by a 180* arc would just be half of this: 18*pi sq. miles. 

"But that's not the question," you scream!! Alright, alright, calm down... let's bring it all together.

[3] We know the area of the whole circle [1]. We also know that if we can figure out the fraction of the circle the problem is easy [2]. So, what fraction of a circle would match an arc of 135*?

Well, we can see that

135*/360* = 0.375    or    3/8

So the area is just 0.375 of the whole circle:

0.375* 36*pi sq. miles = 13.5*pi sq. miles

Read more on Brainly.com - brainly.com/question/2978439#readmore

You might be interested in
A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece
marshall27 [118]

Hello from MrBillDoesMath!

Answer:

7/3 and 14/3 inches

Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

P1 + P2 = 7       => as P2 = 2 P1

P1 + 2P1 = 7      =>

3P1 = 7             => divide both sides by 7

P1 = 7/3


Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
If two angles are complementary then both angles must be acute true or false
Oxana [17]

Answer:

If two angles are acute angles, then they are complementary. Incorrect. The converse is “If two angles are complementary, then they are acute angles” which is true and the original statement was false because two acute angles are not always complementary.

Step-by-step explanation:

7 0
3 years ago
A family of 3 goes to a fair. Tickets cost $5 each, but
Klio2033 [76]

Answer: $105

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Remarkably Fast Shipping charges $14 plus $1.50 per pound for shipping a package overnight.
BigorU [14]
Oh yeah I have to do that and I’m gonna be
7 0
3 years ago
Jan is saving for a skateboard. She save $30 already which is 20% of the total price. How much does skateboard cost
Stolb23 [73]
The skateboard cost $150
3 0
3 years ago
Other questions:
  • Given that a is parallel to b, if = 2x + 5 and = x + 10, what is the value of x? (hint: how are these angles related to one anot
    9·1 answer
  • Show that the relation R consisting of all pairs(x, y)such that x and y are bit strings of length three or more that agree in th
    14·1 answer
  • (25÷8)×219078%+2347910.Please show working on paper.Thanks.You will get 10 points.PLEASE HELP..
    13·2 answers
  • What's the numerator for the following rational<br> expression?
    12·1 answer
  • The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop
    10·1 answer
  • Solve for x and y.
    15·2 answers
  • What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
    12·1 answer
  • Pls help ill mark brainliest
    5·1 answer
  • What number has 1 ten thousand, 4 more thousands than ten thousands, 3 more
    10·1 answer
  • Solve please i need this fast
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!