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
Semenov [28]
3 years ago
5

A circle with radius 5 has a sector with a central angle of 9/10 pi

Mathematics
2 answers:
Solnce55 [7]3 years ago
5 0

Answer:

35.33

Step-by-step explanation:

The circle with radius 5 has a sector with a central angle of 9/10 pi.

The area of a sector is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle of the sector in radians

r = radius of the circle

The area of the sector is therefore:

A_s = \frac{\frac{9 \pi}{10} }{2 \pi} * (3.14 * 5^2)\\ \\A_s = \frac{9}{20} * 78.5\\\\A_s = 35.33

The area of the sector is 35.33.

andriy [413]3 years ago
3 0

Answer:

<h2>The area of the sector to nearest hundredth is 35.33</h2>

Step-by-step explanation:

Formula for calculating the area of a sector is given as \frac{\theta}{360} *\pi r^{2} where;

r is the radius of the circle

theta is the angle substended by the sector.

Given r = 5 and central angle theta = \frac{9 \pi}{10}

Area of the sector is expressed as shown;

= \frac{9\pi/10}{2\pi}*\pi (5)^{2}  \\= \frac{9\pi}{20\pi}*25\pi\\ = \frac{225\pi}{20} \\= 225*3.14/20\\= 35.33

The area of the sector to nearest hundredth is 35.33

You might be interested in
157.86 divided by 15 equals what
Brrunno [24]

157.86/15=10.52

Step-by-step explanation:

5 0
3 years ago
can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
1 year ago
Help (this for a friend)<br> a 62.1<br> b 117.4<br> c 122.1<br> d 164.5
kramer

Answer:

c. 122.1 cm

Step-by-step explanation:

so l * w + \frac{\pi r^2}{2}

since 6 cm is the diameter

6/2 = 3

the radius (or r) is 3

so 18 * 6 + \frac{3.14 * 3*3}{y}

108 + \frac{3.14*9}{y}

108 + \frac{28.26}{2}

108 + 14.13 = 122.13

simplified: 122.1 cm

hope this helps:)

4 0
2 years ago
Read 2 more answers
A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample
Andrews [41]

A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample

Answer: We are given the mean of 8 scores is 12.

We are required to find the sum of these 8 observation's, \sum x

We know that:

\bar{x}=\frac{\sum x}{n}

We are given:

\bar{x} = 12, n=8

\therefore 12=\frac{\sum x}{8}

      \sum x = 12 \times 8

      \sum x=96

Hence, sum of 8 observation's, \sum x =96

7 0
3 years ago
Find the volume of the pyramid.
Anon25 [30]
V=7 with the little 3
6 0
3 years ago
Other questions:
  • HELP WITH THIS QUESTION NEED HELP ASAP GIVING BRAINLIST!!!!
    11·2 answers
  • What’s the answer to the question ?
    7·1 answer
  • PLEASE HELP ASAP. TIMED​
    15·1 answer
  • 50 POINTS<br>what is 2^-4×r^3×s^-2 <br>when r=-3 and s=5?<br>Explain please..
    13·2 answers
  • A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation ha
    5·1 answer
  • According to a recent study, the mean cost of a 3 bedroom home costs less in Ohio than in Alabama. You think this information is
    15·1 answer
  • What is the axis of symmetry for the following equation?<br> y=4x2-8x+9
    9·1 answer
  • Hey can anyone pls answer dis math question!!!!!!!!!!!
    14·1 answer
  • A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m
    14·1 answer
  • HELP!!pls solve this rn pls. pls i rly need it now<br> 5 (-2a – 8 ) &lt; -9a +4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!